SOLUTION: How many 4 person committees can be formed out of a class of 22 students?

SOLUTION: How many 4 person committees can be formed out of a class of 22 students?

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Question 734336:

How many 4 person committees can be formed out of a class of 22 students?

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
FIRST COMMITTEE:
22*21*20*19=175,560 POSSIBILITIES.
SECOND COMMITTEE:
18*17*16*15=73,440 DITTO.
THIRD COMMITTEE:
14*13*12*11=24.024 DITTO.
FOURTH COMMITTEE:
10*9*8*7=5,040 DITTO.
FIFTH COMMITTEE:
6*5*4*3=360 DITTO.
THE LAST 2 PEOPLE ARE NOT SELECTED FOR ANY COMMITTEE.
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