Question

how many ways can a coach choose 6 players for the first set of a volleyball match if there are 15 members in the teams?

Answer 1

Answer:

Not understand

Step-by-step explanation:

underatanded by me

Answer 2

Answer:

6 players can be choosen from a team of 15 members in 5005 ways.

Step-by-step explanation:

Given, there are 15 members in the team

To find: number of ways 6 members can be selected

$nC_{r}= \frac{n!}{r!(n-r)!}$

n=15, r= 6

$15C_{6}= \frac{15!}{6!(15-6)!} \\\\15C_{6} = \frac{15!}{6!(9!)}$

         $=\frac{15(14)(13)(12)(11)(10)9!}{6(5)(4)(3)(2)9!}\\\\= \frac{3603600}{720} \\\\= 5005$

Therefore, 6 players can be choosen from a team of 15 members in 5005 ways