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Question 111

If a set A has 7 elements, then the number of subsets of A with at most 5 elements is

Solution

We have to find subsets with atmost 5 elements. Hence from all the possible subsets, subtracts all those subsets having 6 and 7 elements.

$$2^7-^{^7C}6-^{^7C}7=128-8=120$$

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