Question

The number of proper subsets of the set $\left\{1,2,3\right\}$ is

• A. $8$
• B. $7$
• C. $6$
• D. $5$

Answer 1

The correct option is B

$7$

Explanation for the correct option.

Find the number of proper subsets of the given set.

A set $\left\{1,2,3\right\}$ is given in the question.

Since the number of elements in the given set is $3$.

Therefore, The number of subsets is given by $2^3=8$.

Since the set itself is not included in the proper subset.

Therefore, the total number of the proper subset is $7$.

Hence, option $B$ is the correct option.