Question

Combination Problem

Answer 1

The starting 5 in a basketball team is to be picked, in order, from the 10 playes in the squad. In how many ways can this be done if Jamahl and Anfernee must be in the starting 5. Remember this is a permutation question.

Answer 2

so you need to choose 3 other players from the remaining 8
this can be done in \(\dbinom{8}{3}\) ways

Answer 3

after that, you can permute the \(5\) member team : " Jamahl, Anfernee and the other \(3\) players" in \(5!\) ways

Answer 4

so there are \(\dbinom{8}{3}*5!\) ways to make the team

Answer 5

What do you mean by permuting 5 people in 5 ways @ganeshie8?

Answer 6

"permute" refers to a rearrangement

for example : \((b,a,c,d,e)\) is a permutation of \((a,b,c,d,e)\)

Answer 7

after choosing 5 member for the team, you need to rank them in order right ?

Answer 8

AHH, I see what you mean. Thank you!