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If a set $A$ has 5 elements, then the number of ways of selecting two subsets $P$ and $Q$ from $A$ such that $P$ and $Q$ are mutually disjoint, is
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$243$
Given set A has 5 elements, there are two subsets $P$ and Q which are mutually disjoint. So, the required number of ways of selecting two subsets will be $3^5=243$.
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