The number of non-empty subsets of the set {1 | vedclass

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Question

(A) The total number of subsets of a set with $n$ elements is given by the formula $2^n$.
For the set ${1, 2, 3, 4}$,the number of elements $n = 4$.

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(A) The total number of subsets of a set with $n$ elements is given by the formula $2^n$.
For the set ${1, 2, 3, 4}$,the number of elements $n = 4$.
Total number of subsets = $2^4 = 16$.
The number of non-empty subsets is obtained by subtracting the empty set (null set) from the total number of subsets.
Number of non-empty subsets = $2^n - 1 = 2^4 - 1 = 16 - 1 = 15$.

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

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