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)

$2^{n +1} -1$

Answer 2

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 = $2^{n+ 1} - 1$.