11 Unit 7C and 7E 1. Suppose you are one of 17 people at a dinner party. Find the probability that at least one of the other guests has the same birthday as you and that some pair of guests share the same birthday. Assume there are 365 days in the year. The probability that at least one other guest shares your birthday is approximately____ (Round to four decimal places as needed.) The probability that some guest share the same birthday is approximately___ (Round to four decimal places as needed.) 2. Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem. A city council with eight members must elect a three-person executive committee consisting of a mayor, deputy mayor, and treasurer. How many executive committees are possible? Calculate how many different committees are possible (whole number)