The number of proper subsets of the set {1, 2, 3} is ___.

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Solution

A proper subset of a set A is a subset of A that is not equal to A . In other words, if B is a proper subset of A , then all elements of B are in A but A contains at least one element that is not in B . The number of proper subsets is $2^{n} - 1$ where n is the count of distinct numbers in a set .
So , Number of proper subsets of the set ${1, 2, 3} = 2^{3} - 1 = 7$ .

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