Let S be a finite set, with |S|= 200. Find the number of subsets of S containing more than 2 elements
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The number of subsets of containing k elements is equal to , where
Firstly, find the number of subsets of containing not more than 2 elements. The emptyset is a unique set containg no elements. There are 200 different subsets of having one element. The number of subsets containg two elements is
Then Since the set contains subsets, the number of subsets of containing more than 2 elements is