Answer to Question #285763 in Finance for pau

Question

The Notre Dame Model UN club has 20 members. Five are seniors, four are juniors, two are sophomores and nine are freshmen.

 

a. In how many ways can the club select a president, a secretary and a treasurer if every member is eligible for each position and no member can hold two positions? Blank 1 ways

b. Regardless of the position, what is the probability that 2 juniors and 1 senior will be selected? Blank 2

Answer 1

a) We select an ordered subset of 4 distinct elements. So for 20 members, 3 officers we have P(20, 3).

b) We need a subset of all the members which has 5 elements with order not so important. Therefore the answer is C(20,5)