Each student in a class size n was born in a year with 365 days, and each reports his or her birth date(month and day, but not year). a) How many ways can this happen? -The answer is 360^n but why? b) How many ways can this happen with no repeated birth dates? c)What is the probability of no matching birth dates? d) In a class of 23 students, what is the probability of at least one birth date Need help here, the text book + class notes don\'t seem to help me much on this problem. Solution it should be 365^n since each person birthday can fall on any day out of 365 b)the answer is 365!(factorial) i.e., 365*364*363.......*1 since no repetations are allowed c)the probability is 364/365* 363/364*362/363.....hence =1/365 d)P = 1 - (365P23/365^23) = .7063 here P represents permutation.