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Subsets and supersets - class-VIII
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The number of subsets of the set $A={ { a } _{ 1 },{ a } _{ 2 },.........{ a } _{ n }} $ which contain even number of elements is
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A
${ 2 }^{ n-1 }$
💡 Explanation:
The total no of subsets of $A$ is the cardinality of the power set of $A$.
So, if $|A|=n$ then $|P(A)|=2^n$.
Therefore total no of subsets of $A$ is $2^n$.
Similarly,
The even number of events is given by, $2^{n-1}$