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  4. If A = x: x = n2, n = 1, 2, 3 then number of proper subsets is

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Q. If $A = \{x : x = n^2, n = 1, 2, 3\}$, then number of proper subsets is

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Solution:

Given that, $A = \{x : x = n^2, n = 1, 2, 3\} = \{1, 4, 9 \}$
$\therefore \,$ Number of elements in $A$ is $3$.
So, number of proper subsets $= 2^3 - 1 = 7$