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Question

A set contains (2n+1) elements. Then the number of subsets of the set which contains at most n elements.
  1. 2n
  2. 22n
  3. 24n
  4. 23n


Solution

The correct option is B 22n
The number of subsets of a set which contains at most n elements is =2n+1C0+2n+1C1+2n+1C2+...+2n+1Cn=1222n+1=22n

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