Question

A club elects a president, vice president and secretary treasurer. How many sets of officers are possible if there are 8 members and any member can be elected to each position? No person can hold more than one office.

Answer 1

Answer:

TRUMP RULES

Step-by-step explanation:

Answer 2

Ahhh yes, the time-honored permutations.

The permutation format, to start with, is P(n, r).

The formula is:

$\frac{n!}{(n-r)!}$

In this instance, we have P(8, 3).

8 will go in for n and 3 for r. So now let's solve.

$\frac{8!}{(8 - 3)!}$    →   $\frac{8!}{5!}$   →   $\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}$  →   $8*7*6$  →  $336$

Therefore 336 is our answer. I hope this answers your question.

-Toremi