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Combination with Constraints

The number of...

Question

The number of two-element subsets in the collection $4, 5, 6, 7$ is

A

8

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B

6

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C

12

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D

7

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Solution

The correct option is B $6$
Given set: { $4, 5, 6, 7$ }

Taking $2$ elements at a time, the subtsets are { $4, 5$ }, { $4, 6$ }, { $4, 7$ }, { $5, 6$ }, { $5, 7$ }, { $6, 7$ }.

Thus the number of subsets is $6$ .

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