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Question

If a set has 31 proper subsets, then the number of elements in the set is ______.
  1. 5

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Solution

The correct option is A 5
If a set has 'n' elements, then the number of proper subsets, it has = 2n1.

2n1=31

2n=32

2n=25

As bases are equal, exponents may be equated

n= 5
the number of elements in the set is 5.

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