Given that b = {1, 2, 3, 4}, how many subsets have exactly two elements?

Solution:

Given, b = {1, 2, 3, 4}

We have to find the total number of subsets that have exactly two elements.

The possible subsets are

{1, 2} (1, 3} {1, 4}

{2, 1} {2, 3} {2, 4}

{3, 1} {3, 2} {3, 4}

{4, 1} {4, 2} {4, 3}

Removing duplicate subsets {2, 1} {3, 1} {4, 1} {3, 2} {4, 2} and {4, 3}.

Therefore, the total number of subsets is 6.

Given that b = {1, 2, 3, 4}, how many subsets have exactly two elements?

Summary:

Given that b = {1, 2, 3, 4}, there are 6 subsets that have exactly two elements.