The number of proper subsets of the set {1, 2, 3} is ___.

Open in App

Solution

A proper subset of a set A is a subset of A that is not equal to A . In other words, if B is a proper subset of A , then all elements of B are in A but A contains at least one element that is not in B . The number of proper subsets is $2^{n} - 1$ where n is the count of distinct numbers in a set .
So , Number of proper subsets of the set ${1, 2, 3} = 2^{3} - 1 = 7$ .

Suggest Corrections

123

Similar questions

The number of proper subsets of the set ${1, 2, 3}$ is ___.

The number of proper subsets of the set A = {1, 2, 3} is ___.

Write down all possible proper subsets each of the following sets :

(i) {1, 2} (ii) {1, 2, 3}

(iii) {1}

The number of proper subsets of the set {1, 2, 3} is

Join BYJU'S Learning Program