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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A set contains $(2n+1)$ elements. If the number of subsets that contain at most $n$ elements is $4096$, then the value of $n$ is:
Solution
For odd number of elements,$\displaystyle \sum_{k=0}^{n} \binom{2n+1}{k} = 2^{2n}$
Given:
$2^{2n} = 4096 = 2^{12}$
So,
$2n = 12 \Rightarrow n = 6$
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