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The number of elements of the power set ...

The number of elements of the power set of a set containing n elements is

A

`2^(n-1)`

B

`2^(n)`

C

`2^(n)-1`

D

`2^(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
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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