Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let X be a set containing ‘n’ elements. If two subsets A and B of X are picked at random. The probability of A and B having same number of elements
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,c)X = {a 1 , a 2 , ..........a n } ; number of subset of X = 2 n ; ways of choosing A & B = 2 2n
ways of choosing A & B so that they have same number of element is
n C 0 . n C 0 + n C 1 . n C 1 + ..... + n C n . n C n = 2n C n
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