If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is
(a) 120
(b) 30
(c) 31
(d) 32

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Solution

(c) 31
The number of proper subsets of any set is given by the formula $2^{n} - 1$ , where n is the number of elements in the set.
Here,
n = 5
∴ Number of proper subsets of A = $2^{5} - 1 = 31$

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