Question

The number of non-empty subsets of the set $\{1,2,3,4\}$ is

• A. $15$
• B. $14$
• C. $16$
• D. $17$

Answer 1

The correct option is A

$15$

Explanation for the correct option.

Find the number of non-empty subsets.

A set $\{1,2,3,4\}$ is given.

So, the total number of non-empty subsets of the given set is:

$$\begin{gathered} 2^4-1=16-1 \\ \Rightarrow 2^4-1=15 \end{gathered}$$

Therefore, the total number of non-empty subsets of the given set is $15$.

Hence, option $A$ is correct .