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17. Combinations
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Q17 of 118 Page 17

Mark the correct alternative in the following:

If , then is equal to


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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Questions · 118
17. Combinations
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