Counting principle, Permutations, Combinations

Question

Tgere are 9 members of the board of director of rocket science corp. 

a)If the board must elect four of its members to the positions of chairperson, first vice chairperson, second vice chairperson and secretary, how many different slates of candidates are possible?

b)In terms of procedure used to solve (a) what kind of problem is this?

c) what tells you it is this kind of problem

Answer 1

Since order matters, the procedure is a permutation. On a graphing calculator, enter ₉P₄ = 3024