Question

In how many ways can a president, a vice president, and a treasurer be chosen from a pool of 15 candidates?

Answer 1

how far did you get with this one?

Answer 2

i just know 15 but i dont know the rest

Answer 3

imagine we have 3 slots A,B,C

A = president
B = vice president
C = treasurer

we have 15 choices for slot A. How many choices for slot B?

Answer 4

i think 45

Answer 5

We start with 15 people. Once the president is selected, s/he cannot serve any other post. So they are taken out of contention. We go from 15 to 15-1 = 14 people

So hopefully you agree that we have 14 choices for slot B?

Answer 6

yes

Answer 7

how many choices for slot C?

Answer 8

13?

Answer 9

yes

Answer 10

now multiply out the number of choices for each slot

(# of choices for slot A)*(# of choices for slot B)*(# of choices for slot C) = (15)*(14)*(13) = ??

Answer 11

I get 2730

Answer 12

me too