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COMEDK2014MathematicsSets and Relations

The number of proper subsets of a set having n+1 elements is

Options

  1. A2^ n+1
  2. B2^ n+1 -1
  3. C2^ n+1 -2
  4. D2^ n-2

Correct answer

B. 2^ n+1 -1

Step-by-step solution

If a set having n elements then its number of subsets =2^ n Numbers of proper susbets of a set having (n+1) elements =2^ n+1 -1 .

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