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Cardinal number of a finite set - class-IX

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If $A\subset B$, then $n[P(A)]$ ______ $n[P(B)]$

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A
$<$
💡 Explanation:

Assume $ A \subset B$ is true. 

Then, every element of $A$ i.e. $a _1,a _2, ... , a _n$ in A are also in B.

So, number of elements in $B$ will always be greater than no. of elements in $A$

And $P(A)$ will contain less number of subsets than $P(B)$

Hence, $n[P(A)] <  n[P(B)]$

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