SOLUTION: How many five-person committees can be selected from nine people

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Question 620520: How many five-person committees can be selected from nine people
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
C(n,r) = (n!)/(r!(n-r)!)

C(9,5) = (9!)/(5!*(9-5)!)

C(9,5) = (9!)/(5!*4!)

C(9,5) = (9*8*7*6*5!)/(5!*4!)

C(9,5) = (9*8*7*6)/(4!)

C(9,5) = (9*8*7*6)/(4*3*2*1)

C(9,5) = (3024)/(24)

C(9,5) = 126

So the answer is 126