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The number of elements of the power set of a set containing n elements isA. `2^(n-1)`B. `2^(n)`C. `2^(n)-1`D. `2^(n+1)` |
Answer» Correct Answer - B Let set A contains n elements. Power set of a is the set of all subsets. `therefore` Number of subsets of `A=.^(n)C_(o)+.^(n)C_(1)+.^(n)C_(2)+...+.^(n)C_(n)=2^(n)` `therefore` Power set of A contains `2^(n)` elements. |
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