The number of proper subsets of the set A -1-2-3 isA- 8B- 7C- 6D- 5

The correct option is B 7 Given the set A = {1, 2, 3}. nbsp;Then, nbsp;n(A) = 3. We know that the number of proper subsets of a set with n elements is 2^n ...

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Standard IX

Mathematics

Subset

The number of...

Question

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

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Solution

The correct option is B
7

Given the set $A = {1, 2, 3} .$ Then, $n (A) = 3.$

We know that the number of proper subsets of a set with $n$ elements is $2^{n} - 1.$

$∴$ Number of proper subsets of the set A is $2^{3} - 1 = 7.$

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

The correct option is B 7 Given the set A={1,2,3}. Then, n(A)=3. We know that the number of proper subsets of a set with n elements is 2n−1.​​​ ∴ Number of proper subsets of the set A is 23−1=7.

The correct option is B
7

Given the set $A = {1, 2, 3} .$ Then, $n (A) = 3.$

We know that the number of proper subsets of a set with $n$ elements is $2^{n} - 1.$

$∴$ Number of proper subsets of the set A is $2^{3} - 1 = 7.$