ariajourney17 ariajourney17
  • 12-07-2021
  • Mathematics
contestada

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?

Respuesta :

olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 18-07-2021

Answer:

35 ways

Step-by-step 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[tex]C_{4}[/tex] ways.

7[tex]C_{4}[/tex] = [tex]\frac{7!}{(7-4)!4!}[/tex]

      = [tex]\frac{7!}{3!4!}[/tex]

      = [tex]\frac{7*6*5*4!}{3*2!4!}[/tex]

      = 7 x 5

      = 35

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

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