Question

1. A student government has 5 positions to fill and there are 9 candidates running for any one of the positions. How many different possibilities are there for the 5 positions?
the answer choices :
A. 10
B. 115
C. 1,250
D. 15,120

Answer 1

Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on.

Otherwise, if you're talking about 5 distinct but duplicate positions - meaning their responsibilities are the same but 5 people are required to carry them out - you need to divide the previous total number of possibilities by the number of ways those possibilities could have been reordered.

Answer 2

@agent0smith can u help me ?

Answer 3

Guy above already has...

Answer 4

No... "Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on."

use that.

Answer 5

4 has 6, 5 has 8

Answer 6

i think the answer is d is that correct?

Answer 7

I didn't check. Just multiply the number of people that could go in each position.

Answer 8

P(9, 5) = 9!/(9 - 5)! = 15120

Answer 9

Yes

Answer 10

ok thanks