SOLUTION: A club has 5 members. From these members, the positions of president and vice-president have to be filled. In how many different ways can these positions be filled?

Algebra ->  Permutations -> SOLUTION: A club has 5 members. From these members, the positions of president and vice-president have to be filled. In how many different ways can these positions be filled?       Log On


   



Question 1151251: A club has 5 members. From these members, the positions of president and vice-president have to be filled. In how many different ways can these positions be filled?

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

In 5*4 = 20 ways.    ANSWER


5 ways to select a president, and 4 ways to select a vice-president from remaining 4 members.


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a permutation problem:
5P2+=+%285%21%29%2F%28%285+-+2%29%21%29
5P2+=%285%21%29%2F%28%283%29%21%29
5P2+=%285%2A4%2A3%2A2%2A1%29%2F%28%283%2A2%2A1%29%29
5P2+=5%2A4
5P2+=20 ways to fill the 2 positions