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A set contains (2n + 1) elements. The number of subsets of the set which contains at most n elements is

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a
2n
b
2n+1
c
22n–1
d
22n

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detailed solution

Correct option is D

Number of subsets=2n+1C0+2n+1C1+…+2n+1Cn=N( say )∴ N=22n+1−N⇒ 2N=22n+1⇒ N=22n


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