SOLUTION: In how many ways can a six-member committee form a subcommittee with at least two members? I thought it would be 2^6 - 2 but the answer is suppose to be 57.

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Question 593709: In how many ways can a six-member committee form a subcommittee with at least two members?
I thought it would be 2^6 - 2 but the answer is suppose to be 57.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Number of ways to form subcommittee : 6C2 + 6C3 + 6C4 + 6C5 + 6C6
( number of members can be 2,3,4, 5 or 6)
= 15 + 20 + 15 + 6 + 1
= 57