Please use the given information/instructions to provide a response to each part of the given problem. Please provide all steps or reasonings you use to better my understanding. Please use a clear format and box all finals responses and explanations. Please do not repost the work nor PDFs of other posts. Let me know if there are any questions. Thank you!

The stadium at McRowe State University seats 50,420 and has an attendance of 43,340 at a game. - (a) Assuming that half of the attendees are McRowe State fans and can sit only in the north part of the stadium (which contains half of the seats), while the other half of the attendees can only sit in the south part, write out an expression for the number of different ways the seats can be occupied. (All fans are presumed created equal, so it does not matter who is sitting at an exact spot within their appropriate half of the stadium, only which seats are occupied). Note: because of the large numbers, use Stirling's formula to approximate any factorials in your expression. (b) Now assume there is no segregation between the two halves of the stadium, so any fan can occupy any seat. By approximately what factor is the number of possible seating arrangements smaller or larger than in the rst case