Question

WILL GIVE BRAINLIEST!! 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?
A. 115
B. 15,120
C. 10
D. 1,250
if you describe how you got it. Will give Brainliest

Answer 1

 If the positions are distinct, as in executive offices, then P(9, 5). 

P(9, 5) = 9!/(9 - 5)! = 15120 

If the positions are equivalent, such as seats in a legislative body, then C(9, 5). 

C(9, 5) = 9!/[(9 - 5)!(5!)] = 126