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How many subsets does a set with n disti...

How many subsets does a set with n distinct elements have ?

A

`n^(2)`

B

`2^(n)`

C

`((2n)!)/(2(n!))`

D

n

Text Solution

Verified by Experts

The correct Answer is:
B
Each element is either in a subset or not, so there are 2 choices for each of n elements. This yields `2xx2xx…xx2` (n factors) `=2^(n)` subsets.
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