Certain women runners and runners’ organizations (the women runners) appeal the denial by the district court of their motion for a preliminary mandatory injunction to require the organizers of the 1984 Los Angeles Summer Olympic Games to include 5.000 meter and 10,000 meter track events for women. The women runners claim that the failure to include these events constitutes gender-based discrimination that violates their equal protection rights under the fifth and fourteenth amendments and the Unruh Civil Rights Act, Cal.Civ.Code § 51 (West 1982) (the Act) 1 The district court ruled that the women runners had not met all of the requirements for preliminary injunctive relief. We have jurisdiction under 28 U.S.C. § 1292(a)(1). We affirm.
I
The women runners are two runners’ organizations and eighty-two 2 women from twenty-seven countries who compete in 5.000 meter and 10,000 meter track races. In August 1983, they filed this action in a California state court against the International Olympic Committee (IOC), the International Amateur Athletic Federation (IAAF), the United States Olympic Committee, The Athletic Congress of the United States, the Los Angeles Olympic Organizing Committee, and the Los Angeles Coliseum Commission, as well as various directors and officials of those entities (the Olympics organizations). The Olympics organizations removed the action to the United States District Court for the Central District of California. In March 1984, the women runners requested preliminary injunctive relief against the Olympics organizations. In a lengthy opinion, the district judge denied relief. The women runners appeal and ask us to remand with instructions to the district court to issue a mandatory preliminary injunction for the inclusion of 5,000 meter and 10,000 meter women’s track events in the 1984 Summer Olympic Games.
According to the women runners, the process used to select new Olympic events has resulted in the continuation of an historical pattern of discrimination against women participants in the Olympic Games. The district court’s opinion extensively reviewed the history of women’s participation in the Games and concluded that the women runners made a strong showing that the early history of the modern Olympic Games was marred by blatant discrimination against women. The district court also found that women’s participation in the Olympics has increased markedly during the past thirty-six years. Although there is not parity between men and women in either the number of competitors or the number of events, the district court found that women were progressing in both of these areas. For example, three new women’s track and field events — the 3,000 meters, the 400 meter hurdles, and the marathon — will be included for the first time in the 1984 Games.
Although the pertinent background extends to the beginning of this century, the critical occurrence for this lawsuit occurred in 1949, when the IOC adopted rules to slow the rapid growth in the number of Olympic events within recognized sports. *674The successor rule of that effort, which is at issue in this litigation, is rule 32 of the 1970 Olympic Charter. It provides:
The IOC in consultation with the IFs [International Federations] concerned shall decide the events which shall be included in each sport, in bearing with the global aspect of the Olympic pro-gramme and statistical data referring to the number of participating countries in each event of the Olympic programme, of the world championships, of Regional Games and all other competitions under the patronage of the IOC and the patronage of the IFs for a period of one olympiad (four years).
Under this rule, an event must be recognized internationally through national championships and international competition during the four years before the time it is first considered for inclusion, and the decision on whether to include an event is made four years before the games in which it will first appear. Thus, the critical qualifying time period for races to be run for the first time in 1984 was from 1976 to 1980.
Track and field is a recognized Olympic sport. The IAAF is the body charged with regulating international track and field competition. The IAAF determines which track and field events will be included in international competition and for which events world records will be established. The IOC has also made the IAAF responsible for recommending new track and field events for inclusion in the Olympic Games. To assist in providing more women’s events, the Women’s Committee of the IAAF was organized. Although the IAAF may recommend new track and field events for inclusion in the games, the final decision on inclusion rests solely with the IOC.
The 5,000 meter and 10,000 meter track races have been a part of the men’s Olympic program since 1912. In 1978, the Women’s Committee of the IAAF requested that the IAAF grant world record status for women’s competition in these two events and include them in international competition. The IAAF recognized an increased interest in the events but rejected the request on the grounds that world-wide participation was not yet on a high enough level. It was agreed to monitor progress “with a view to ... recommending their introduction as soon as this was justified.” In 1980, the IAAF granted world record status to the two events but did not include them in world championship competition. Because the races were not yet sanctioned by the IAAF for international competition in 1980 when decisions about the 1984 Games were being made, the 5,000 meter and 10,000 meter women’s races were not eligible under rule 32 for inclusion in the 1984 Games.
II
Our review in this appeal is very limited. We may not reverse the district court’s denial of the preliminary injunction unless the district court abused its discretion or relied on an erroneous legal premise. Sports Form, Inc. v. United Press International, Inc., 686 F.2d 750, 752 (9th Cir. 1982) (Sports Form); Los Angeles Memorial Coliseum Commission v. National Football League, 634 F.2d 1197, 1200 (9th Cir.1980). We must therefore determine whether “the decision was based on a consideration of the relevant factors and whether there has been a clear error of judgment,” Sports Form, 686 F.2d at 752, quoting Citizens to Preserve Overton Park, Inc. v. Volpe, 401 U.S. 402, 416, 91 S.Ct. 814, 823 (1971), as well as whether the district court followed the appropriate legal standard governing the issuance of preliminary injunctions, or misapprehended the law with respect to the underlying issues in applying those standards. Sports Form, 686 F.2d at 752; Wright v. Rushen, 642 F.2d 1129, 1132 (9th Cir.1981).
In this circuit, a party seeking preliminary injunctive relief must meet one of two tests. Under the first, a court may issue a preliminary injunction if it finds that:
(1) the [moving party] will suffer irreparable injury if injunctive relief is not granted, (2) the [moving party] will prob*675ably prevail on the merits, (3) in balancing the equities, the [non-moving party] will not be harmed more than [the moving party] is helped by the injunction, and (4) granting the injunction is in the public interest.
William Inglis & Sons Baking Co. v. ITT Continental Baking Co., 526 F.2d 86, 87 (9th Cir.1975). Alternatively, a court may issue a preliminary injunction if the moving party demonstrates “either a combination of probable success on the merits and the possibility of irreparable injury or that serious questions are raised and the balance of hardships tips sharply in his favor.” Id. at 88 (emphasis in original), quoting Charlie’s Girls, Inc. v. Revlon, Inc., 483 F.2d 953, 954 (2d Cir.1973). Under this last part of the alternative test, even if the balance of hardships tips decidedly in favor of the moving party, it must be shown as an irreducible minimum that there is a fair chance of success on the merits. Sports Form, 686 F.2d at 753. There is one additional factor we must weigh. In cases such as the one before us in which a party seeks mandatory preliminary relief that goes well beyond maintaining the status quo pendente lite, courts should be extremely cautious about issuing a preliminary injunction. See, e.g., Anderson v. United States, 612 F.2d 1112, 1114 (9th Cir.1980).
In the present case, the district judge applied the correct legal standard governing the issuance of preliminary injunctions. After citing several of the controlling precedents referred to above, the district judge weighed the women runners’ request for injunctive relief under the alternative test. He found that the balance of hardships tipped strongly in favor of the women runners. He reasoned that the inherently brief period of an athlete’s peak physical capacity may preclude many of the women runners from ever competing in the Olympic Games if they are not allowed to run in 1984. On the other hand, the district judge found that issuing a mandatory injunction requiring the two races at this late date would impose substantial administrative and logistical difficulties on the Olympics organizations. The district judge determined that the irreparable harm the women runners would suffer if they were not allowed to compete outweighed the incremental administrative burden that would be imposed on the Olympics organizations if they had to organize two additional track and field events for women. Notwithstanding these determinations, which we accept, the district judge denied the requested injunction because he also concluded that the women runners had failed to demonstrate a fair chance of success on the merits of their gender discrimination claims. It is this conclusion which the women runners vigorously challenge and which is the issue before us on this appeal.
A.
Because it will be unnecessary to reach the constitutional question if this appeal can be disposed of on statutory grounds, we turn first to the women runners’ claim that the lack of 5,000 meter and 10,000 meter track races for women violates the Act. It provides:
All persons within the jurisdiction of this state are free and equal, and no matter what their sex, race, color, religion, ancestry, or national origin are entitled to the full and equal accommodations, advantages, facilities, privileges, or services in all business establishments of every kind whatsoever.
Cal.Civ.Code § 51 (West 1982). The women runners argue that the district judge applied an erroneous legal standard when he found that they had not demonstrated a fair chance of success on the merits of their Unruh Act elaim. The judge reasoned that “the Olympic rules for including events are rationally related to the orderly administration of the Games.” The women runners contend that the proper standard is whether the rules are justified by a compelling societal interest.
The California Supreme Court examined the history and policy of the Act in In re Cox, 3 Cal.3d 205, 474 P.2d 992, 90 Cal. *676Rptr. 24 (1970) (Cox). The court found that the Act and its statutory predecessor derived from the common law right of equal access to inns, common carriers, and similar enterprises “affected with the public interest.” Id. at 212-13, 474 P.2d at 996, 90 Cal.Rptr. at 28. The court also traced the history of amendments to this “public accommodations” statute and concluded that the California legislature intended the Act “to prohibit all arbitrary discrimination by business establishments.” Id. at 216, 474 P.2d at 999, 90 Cal.Rptr. at 81. The court also pointed out, however, that the Act’s “broad interdiction ... is not absolute; [business enterprises] may establish reasonable regulations that are rationally related to the services performed and facilities provided.” Id. at 212, 474 P.2d at 995-96, 90 Cal.Rptr. at 27-28. The district judge apparently relied upon this language in applying the Act to this case. Standing alone, this language appears to justify the district judge’s Unruh Act test. Our doubt occurs due to the California Supreme Court’s subsequent opinion in Marina Point, Ltd. v. Wolfson, 30 Cal.3d 721, 743, 640 P.2d 115, 128, 180 Cal.Rptr. 496, 510, cert. denied, 459 U.S. 858, 103 S.Ct. 129, 74 L.Ed.2d 111 (1982) (Marina Point), where the court indicated that an exclusionary policy must serve “some compelling societal interest” to avoid invalidity under the Act. It is this apparent inconsistency that we must resolve.
The women runners rely on the Marina Point language to support their claim that the district judge applied an erroneous standard in assessing their likelihood of success on the merits of their Unruh Act claim. The Olympics organizations, on the other hand, assert that the district court’s “rationally related” statement merely reflects a conclusion that rule 32 does not arbitrarily discriminate against women athletes. Read in context, we find the district court's statement ambiguous. We do not fault the district court because we find some difficulty with the California case law on the issue. Nevertheless, it is unnecessary for us to remand, because we may affirm the decision of the district court if the result is correct, even if the district court relied on a wrong ground or gave a wrong reason. E.g., United States v. Best, 573 F.2d 1095, 1100-01 (9th Cir.1978).
Assuming, but not deciding, that the Act applies to the running events themselves, we have difficulty with the theory advanced by the women runners. The women runners clearly are not seeking an opportunity to compete against men in the existing men’s 5,000 meter and 10,000 meter races. Thus, they do not attempt to invoke the Act as a means of removing arbitrary barriers to their use or enjoyment of existing “accommodations, advantages, facilities, privileges or services.” Yet a challenge to the total exclusion of women from these races would appear to be the most logical application of the Act. Instead, the women runners claim that the Act requires the creation of new competitive opportunities for them, through the use of this court’s equitable powers, to remedy the allegedly unequal results that have obtained under, as we hold below, the facially neutral test of rule 32. We express no view on whether the Act would apply to a direct challenge to the men’s events. We do conclude that it may not be used as argued by the women runners. We simply do not read the Act to compel the creation of separate but equal events for women. The decisional law interpreting the Act provides no support for the remedy the women runners seek. Thus, we doubt the application of the Act to accommodate the women runners’ claim and, therefore, find a lack of a fair chance of success as a matter of law.
There is a second reason why we believe the district court should not be reversed. The California Supreme Court’s interpretation of the Act indicates that it is intended to proscribe “arbitrary discrimination.” E.g., Cox, 3 Cal.3d at 212, 474 P.2d at 995, 90 Cal.Rptr. at 27 (the design of the Act was “to interdict all arbitrary discrimination by a business enterprise.”). In Marina Point, the court explained that “business establishments [may not] with*677hold[ ] their goods or services from a broad class of individuals in order to ‘cleanse’ their operations from the alleged characteristics of the members of an excluded class.” 30 Cal.3d at 725, 640 P.2d at 117, 180 Cal.Rptr. at 499. The court emphasized that the rights protected by the Act are enjoyed by all persons, as individuals. Id. at 740, 640 P.2d at 126, 180 Cal.Rptr. at 508 (“[T]he exclusion of individuals from places of public accommodation or other business enterprises covered by the Unruh Act on the basis of class or group affiliation basically conflicts with the individual nature of the right afforded by the act of access to such enterprises.”). Thus, the “arbitrary discrimination” prohibited by the Act is the “blanket” exclusion of any class of persons. E.g., Marina Point, 30 Cal.3d 721, 640 P.2d 115, 180 Cal.Rptr. 496 (children excluded from apartment complex); In re Cox, 3 Cal.3d 205, 474 P.2d 992, 90 Cal.Rptr. 24 (persons with long hair excluded from shopping center); Stoumen v. Reilly, 37 Cal.2d 713, 234 P.2d 969 (1951) (homosexuals excluded from public restaurants and bars); Orloff v. Los Angeles Turf Club, 36 Cal.2d 734, 227 P.2d 449 (1951) (persons with immoral reputations excluded from public race track); Curran v. Mount Diablo Council of The Boy Scouts of America, 147 Cal.App.3d 712, 195 Cal.Rptr. 325 (1983) (homosexuals excluded from Boy Scouts); Easebe Enterprises, Inc. v. Rice, 141 Cal.App.3d 981, 190 Cal.Rptr. 678 (1983) (exclusion of males from bar). When a statute or rule arbitrarily discriminates against any class of persons, it may be justified only if there is a compelling societal interest. Marina Point, 30 Cal.3d at 743, 640 P.2d at 128, 180 Cal.Rptr. at 510. A business establishment may exclude individuals, however, if they violate a reasonable deportment rule which is rationally related to the services performed. Cox, 3 Cal.3d at 217, 474 P.2d at 999, 90 Cal.Rptr. at 31. This interpretation accommodates best what would otherwise be an ambiguity between Cox, 3 Cal.3d at 212, 474 P.2d at 995-96, 90 Cal. Rptr. at 27-28 (rational relation required for exclusion of individual), and Marina Point, 30 Cal.3d at 743, 640 P.2d at 128, 180 Cal.Rptr. at 510 (compelling societal interest required for exclusion of entire class of persons).
Applying this analysis, we hold that rule 32’s process for adding new events does not operate as a blanket exclusion of any class of persons and is therefore not “arbitrary discrimination.” It applies equally to all proposed new events and the would-be Olympic competitors for those events, and, therefore, does not violate the Act. Because the finding by the district court of rational relation is functionally similar to a finding that rule 32 is not discriminatory, no remand to the district court is necessary and we may affirm its judgment.
In addition, we find persuasive the argument that a court should be wary of applying a state statute to alter the content of the Olympic Games. The Olympic Games are organized and conducted under the terms of an international agreement— the Olympic Charter. We are extremely hesitant to undertake the application of one state’s statute to alter an event that is staged with competitors from the entire world under the terms of that agreement.
We therefore conclude that the district judge did not abuse his discretion in determining that the women runners have not demonstrated a fair chance of success on the merits of their Unruh Act claim. Having concluded that the state statute does not conclude this appeal, we must now turn to the constitutional claim of the women runners.
B.
The women runners contend that the lack of equal medal opportunities for women in the 1984 Olympic Games violates their equal protection rights under the fifth and fourteenth amendments. Although the fourteenth amendment predicate of state action is contested by the Olympics organizations, we cannot say, on this record, that the district court erroneously found state action present.
*678The disproportionate impact of a statute or regulation alone, however, does not violate the equal protection clause. To succeed on their equal protection claim, the women runners must show that the allegedly disproportionate impact of rule 32 on women reflects a discriminatory purpose. See Washington v. Davis, 426 U.S. 229, 239-42, 96 S.Ct. 2040, 2047-2049, 48 L.Ed.2d 597 (1976); accord Arlington Heights v. Metropolitan Housing Development Corp., 429 U.S. 252, 264-65, 270, 97 S.Ct. 555, 562-563, 50 L.Ed.2d 450 (1977) (Arlington Heights). It would be sufficient to show that an invidiously discriminatory purpose was a motivating factor in the challenged actions; it is not necessary to prove that such a discriminatory purpose was the sole basis for limiting women’s competition in the Olympic Games. See Arlington Heights, 429 U.S. at 265-66, 97 S.Ct. at 563-564.
Rule 32 is facially gender-neutral. It describes the procedures for determining events to be included in the Olympic Games without referring to the competitors’ sex. In Personnel Administrator of Massachusetts v. Feeney, 442 U.S. 256, 99 S.Ct. 2282, 60 L.Ed.2d 870 (1979) (Feeney), the Supreme Court established the analytical framework for assessing equal protection challenges to classifications that are gender-neutral on their face, but have a disparate impact on women. Under Feeney, a court must first examine whether the classification or regulation is indeed neutral, in the sense that it is not overtly or covertly gender-based. Id. at 274, 99 S.Ct. at 2293. Second, the court must determine whether the adverse effects under the classification reflect invidious gender-based discrimination. Id. In making this second determination, a court may apply the factors identified in Arlington Heights as indicative of a discriminatory purpose. These factors include:
The historical background of the decision ... particularly if it reveals a series of official actions taken for invidious purposes ____ The specific sequence of events leading up to the challenged decision may also shed some light on the decisionmaker’s purposes____ Departures from the normal procedural sequence also might afford evidence that improper purposes are playing a role. Substantive departures too may be relevant, particularly if the factors usually considered important by the decisionmaker strongly favor a decision contrary to the one reached.
Arlington Heights, 429 U.S. at 267, 97 S.Ct. at 564 (citations omitted).
In the case before us, the district judge correctly identified Feeney and Arlington Heights as the controlling precedents. After carefully applying the analysis outlined in those cases, the district judge found that rule 32 was neither overtly nor covertly gender-based. He also found that the women runners had failed to show that the unequal impact of rule 32 reflected invidious gender-based discrimination.
The women runners dispute both of these determinations. First, they claim that rule 32 is not in fact gender-neutral because it has been applied almost exclusively to women’s events. Because there were a great many more men’s events than women’s events in 1949 when rule 32's predecessor was enacted, the women runners argue that rule 32 has impacted women athletes disproportionately and is therefore not a gender-neutral classification. They argue that, in essence, they are frozen into a secondary role because new women's events will always be restricted by rule 32. This argument is simply untenable after the Supreme Court's decision in Feeney. The Court there ruled that the Massachusetts lifetime hiring preference for “veterans” was a gender-neutral classification despite evidence that over 98% of the veterans in that state were male. The Court explained that the veterans preference statute operated to exclude both male and female non-veterans and thus was constitutionally “neutral.” See 442 U.S. at 276-78 & n. 23, 99 S.Ct. at 2295-2296 & n. 23. Similarly, rule 32 undeniably applies to both men and women athletes as it establishes criteria for adding all new events to *679the Olympic program. Indeed, the women runners’ own brief concedes that forty-three new men’s events have been added since 1949 — presumably under the process of rule 32 and its predecessors — while forty-eight new events have been added for women competitors during this same period. Thus, the women runners’ argument that rule 32 is not gender-neutral is unpersuasive.
The women runners also dispute the district court’s determination that they failed to demonstrate a fair chance of proving purposeful discrimination behind the unequal number of Olympic events for men and women. Initially they contend that they should not have been required to shoulder the burden of proof. The women runners mistakenly rely on Columbus Board of Education v. Penick, 443 U.S. 449, 464, 99 S.Ct. 2941, 2950, 61 L.Ed.2d 666 (1979), and Dayton Board of Education v. Brinkman, 443 U.S. 526, 537-38, 99 S.Ct. 2971, 2979-2980, 61 L.Ed.2d 720 (1979), in arguing that the district court’s determination that they made a strong showing of historical discrimination against women’s participation in the Olympic Games should have shifted the burden to the Olympics organizations to show that their actions were not motivated by discriminatory intent. The inference of discriminatory intent in those cases was based on the affirmative duty to desegregate public schools. See Penick, 443 U.S. at 458, 99 S.Ct. at 2946, citing Brown v. Board of Education, 349 U.S. 294, 301, 75 S.Ct. 753, 756, 99 L.Ed. 1083 (1955). These cases do not apply here. Cf. Feeney, 442 U.S. at 273, 99 S.Ct. at 2293 (“[T]he Fourteenth Amendment guarantees equal laws, not equal results.”). Although an historical background of invidious discrimination is a relevant factor in examining rule 32 for evidence of a discriminatory purpose, see Arlington Heights, 429 U.S. at 267, 97 S.Ct. at 564, it is insufficient alone to create a presumption of purposeful discrimination or to shift the burden of showing discriminatory intent behind this facially neutral regulation.
We express no opinion on whether the women runners will eventually be able to prove intent to discriminate. A full record after a trial will provide the ultimate answer.
Because of the limited scope of our review of the law applied by the district court and because the fully developed factual record may be materially different from that initially before the district court, our disposition of appeals from most preliminary injunctions may provide little guidance as to the appropriate disposition on the merits.
Sports Form, 686 F.2d at 753. We now only decide whether the district judge abused his discretion when he found, based upon this record, that the women runners did not have a fair chance of proving intentional discrimination.
The district judge made a lengthy analysis based upon each of the Arlington Heights factors. Relying upon the facts we have briefly outlined for purposes of this opinion plus many other detailed findings, the district court concluded that the women runners had not made the requisite showing. After a thorough review of the record, we cannot overrule his determination. Therefore, because the district judge applied the proper legal standard and because we cannot conclude that his findings show a “clear error of judgment,” we may not reverse his decision not to issue a preliminary injunction based on the women runners’ equal protection claims. See Sports Form, 686 F.2d at 752.
AFFIRMED.
. In the district court, the women runners also argued that the actions of the Olympics organizations violated the equal protection provision of the California Constitution, art. I, sec. 7, and international law. The district court analyzed and rejected these claims. We need not reach these issues, as the women runners failed to raise them properly on appeal. Dogherra v. Safeway Stores, Inc., 679 F.2d 1293, 1296 (9th Cir.1982); Thompson v. Commissioner, 631 F.2d 642 (9th Cir.1980), cert. denied, 452 U.S. 961, 101 S.Ct. 3110, 69 L.Ed.2d 972 (1981).
. Although the women runners' briefs and the district court’s opinion both refer to eighty-two women runners, the first amended complaint names only fifty-nine women runners as plaintiffs. The discrepancy has no bearing on our jurisdiction or our disposition of this case.