If A = { 1,,2,,3,,4,,5} , then number of proper subsets of A is

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1.Set Theory

easy

If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is

A

$120$

B

$30$

C

$31$

D

$32$

Solution

(c) The number of proper subset $ = {2^n} – 1$
$ = {2^5} – 1$ $ = 32 – 1 = 31$.

Standard 11

Mathematics

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