Q.

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

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a

2n

b

2n+1

c

22n–1

d

22n

answer is D.

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Detailed Solution

Number of subsets=2n+1C0+2n+1C1+…+2n+1Cn=N      say∴ N=22n+1−N⇒ 2N=22n+1⇒ N=22n
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A set contains (2n + 1) elements. The number of subsets of the set which contain at most n elements