COMEDK · Maths · 20. Sets and Relations
The number of proper subsets of a set having \(n+1\) elements is
- A \(2^{n+1}\)
- B \(2^{n+1}-1\)
- C \(2^{n+1}-2\)
- D \(2^{n-2}\)
Answer & Solution
Correct Answer
(B) \(2^{n+1}-1\)
Step-by-step Solution
Detailed explanation
If a set having \(n\) elements then its number of subsets \(=2^{n}\) \(\therefore\) Numbers of proper susbets of a set having \((n+1)\) elements \(=2^{n+1}-1 .\)
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