Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements, is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
We know that the number of sub-sets of a set containing 
elements is 
Therefore the number of ways of choosing 
and 
is 
We also know that the number of sub-sets (of X) which contain exactly 
elements is 
Therefore the number of ways of choosing 
and 
so that they have the same number elements is
Thus the required probability 
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