Unfortunately, you likely do not have any legal recourse. Employment in NV is "at will," meaning that an employer may terminate your employment at any time and for any reason. There are several exceptions to that rule, but your question does not suggest that any of the exceptions would apply. If the employer gets a bad reputation for doing this sort of thing, then perhaps it will have difficulty filling positions in the future. Good luck.
My answers to questions posted on AVVO are intended to provide general information only, and are not intended to be legal advice. Employment law issues typically require a careful case-by-case analysis. Consequently, if you feel that you need legal advice, I would encourage you to consult in person with an employment attorney in your area.
Yes, your circumstances are difficult. Mr. Jackson, is correct, employment in Nevada is "at will", unless you have a something in writing to the contrary. "At will" means that an employer can fire or lay off for any reason or no reason. In Las Vegas, Over-hiring is a common practice, especially in entertainment/tourist venues.