Q. 175.0( 1 Vote )

# Mark the correct alternative in the following:If , then is equal toA. 56B. 120C. 28D. 91

If set S has n elements, then C(n,k) is the number of ways of choosing k elements from S.

Thus, the number of subsets of S of all possible values is given by,

C(n,0) + C(n,1) + C(n,2) + . . . . . . . . . . + C(n,n) = 2n

Comparing the given equation with the above equation we get,

2n = 256

2n = 28

n = 8

2nC2 = 16C2

= 120

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