Question

A coach chooses six out of eight players to go to a skills workshop. if order does not matter, in how many ways can he choose the players for the workshop?

Answer 1

he can choose 28 different ways

Answer 2

Answer: There are 28 ways to choose the players for the workshop.

Explanation:

Since we have given that

Number of players to go to a skills workshop = 8

Number of players a coach chooses = 6

We need to find the number of ways he could choose the players for the workshop .

So, we will use "Combination Method":

`^8C_6,\text{ here n= 8 and r=6}\\\\=(8!)/(6!* 21)\\\\=(8* 7)/(2* 1)\\\\=4* 4\\\\=28`

So, there are 28 ways to choose the players for the workshop.