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  4. If a set A has 4 elements, then the total number of proper subsets of set A, is

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Q. If a set $A$ has $4$ elements, then the total number of proper subsets of set $A$, is

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Solution:

$n(A) = 4 $ (given)
$\therefore $ Total no. of subsets of $A= 2^4 = 16$
$\therefore $ No. of proper subsets = $16 - 1 = 15 $