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Let X be a set containing n elements. Tw...

Let X be a set containing n elements. Two subsets A and B of X are chosen at random, then the probability that A and B have same number of elements, is

A

`(""^(20)C_(10))/(2^(10))`

B

`((2^(10) -1))/(2^(20))`

C

`((2^(10) -1))/(2^(10))`

D

`(""^(20)C_(10))/(2^(20))`

Text Solution

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The correct Answer is:
D
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