1.

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. \[\frac{^{2n}{{C}_{n}}}{{{2}^{2n}}}\]
B. \[\frac{1}{^{2n}{{C}_{n}}}\]
C. \[\frac{1\cdot 3\cdot 5...(2n+1)}{{{2}^{n}}n!}\]
D. \[\frac{{{3}^{n}}}{{{4}^{n}}}\]
Answer» B. \[\frac{1}{^{2n}{{C}_{n}}}\]


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