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Question

The number of non-empty subsets of the set {1,2,3,4} is ___.

A
15
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B
14
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C
16
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D
17
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Solution

The correct option is A 15
If a set has n elements, then it has 2n subsets.
But, empty set is a subset of every set.
The number of non-empty subsets of a set of n elements is 2n1.
Given the set {1,2,3,4} with 4 elements.
Thus, the number of non-empty subsets of the set is 241=15.

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