Permutations and Combinations question below

Question

Premutations and Combinatioins Question:

 A club with 31 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done.

___________ ways.

Answer 1

Select president first: 31 members to pick from. Then vice-president: 30 remaining members, so for these first two officers there are 31*30 ways. And so on, so there are 31*30*29*28*27=20,389,320 ways to select all five officers.