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Earn +20 ptsQ: How many 6 person committees can be formed out of 16 people?
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How many two person committees can be chosen from a group of nine people?
72
How many combinations of 4 person committees can be formed in a class of 20 students?
There are 4845 ways to choose 4 people out of 20 20 choose 4 = 20! / (4!16!)
How many 2-member committees can be formed from a group of 7 people?
-5
How many 4 person committees can be chosen from a group of 32?
The number of distinct, different 4-person committees that can be formedfrom a group of 32 people is(32!/28!) / (4!) = (32 x 31 x 30 x 29) / (4 x 3 x 2 x 1) = 35,960(but obviously, no more than four at a time.)
How many different committees can be formed from 9 teachers and 49 students if the committee consists of 2 teachers and 4 students?
Possibilities are (9 x 8)/2 times (49 x 48 x 47 x 46)/24 = 366,121,728/48 =7,627,536 different committees.
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