Question

You own 7 pairs of jeans and are taking 4 on vacation. In how many ways can you choose 4 pairs of jeans form the 7?

Answer 1

35 ways

Explanation:

The selection process in the given question can be referred to as combination, since 4 pairs of jeans are to be selected from the 7 pairs. There is no specific pattern of selecting the 4 pairs.

Thus, the selection can be done in 7
`C_(4)` ways.

7
`C_(4)` =
`(7!)/((7-4)!4!)`

=
`(7!)/(3!4!)`

=
`(7*6*5*4!)/(3*2!4!)`

= 7 x 5

= 35

Therefore, 4 pairs of jeans can be selected from 7 pairs in 35 ways.