Question

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 1

Answer: (B)

If a set having n elements then its no. of subsets = $2^n$
$\therefore$ No. of proper subsets of a set having $(n+1)$ elements = $2^{n+1}-1$.