SOLUTION: If a set has 32 elements, how many subsets have greater than 2 elements?

SOLUTION: If a set has 32 elements, how many subsets have greater than 2 elements?

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Question 1027046: If a set has 32 elements, how many subsets have greater than 2 elements?

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
2^32 subsets total.

1 subset contains 0 elements (empty set), 32 subsets contain exactly one element, and 32C2 = 496 subsets contain exactly two elements. The # of subsets with more than 2 elements is 2^32 - 496 - 32 - 1.
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