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  4. The number of non-empty subsets of the set 1,2,3,4 is 3 × a. The value of ' a ' is

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Q. The number of non-empty subsets of the set $\{1,2,3,4\}$ is $3 \times a$. The value of ' $a$ ' is

Sets

Solution:

Total number of subset of given set $\{1,2,3,4\}=2^{4}=16$
Since, $\phi$ is the subset of every set.
$\therefore $ Number of non-empty subsets $=16-1=15=3 \times 5$