Q.

A set contains (2n+1)  elements. If the number of subsets of this set which contain at most n elements is 4096, then n is

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a

15

b

13

c

6

d

21

answer is C.

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Detailed Solution

2n+1c0+2n+1c1+−−−−+2n+1cn=4096 ⇒22n+12=4096 22n=4096=212 ⇒n=6
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A set contains (2n+1)  elements. If the number of subsets of this set which contain at most n elements is 4096, then n is