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13 votes
13 votes
students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.

User NikkiA
by
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1 Answer

15 votes
15 votes

we know that

The formula for combinations is


C=n!/[(n-r)!*r!]

where


n is the total number of objects you choose from


r is the number that you choose to arrange

in this problem


n=15 students


r=4 students


C=15!/[(15-4)!*4!]
C=15!/[11!*4!]
(15*14*13*12*11!)/(11!*4*3*2*1)


C=(15*14*13*12)/(24)
C=1365

the answer is

1,365

User PointedEars
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3.1k points