pls help as soon as possible $-$ all parts $[2](25$ points$)$ Suppose you are a manager of a soccer club that has

a squad of $20$ outfield players $($players that are not goalkeepers$).$ Your $20-$

player squad consists of $6$ defenders, $8$ midfielders, and $6$ forwards.

How many ways can you choose $10$ players out of your $20$ outfield

players?

How many ways can you choose your $10$ players such that you have

a standard outfield formation of $4$ defenders, $4$ midfielders and $3$

forwards on the pitch?

Suppose instead of the manager, you are a supporter of that club and

you think the manager should try a new outfield formation. The for$-$

mation is $3$ defenders, $5$ midfielders, and $2$ forwards. What is the

probability that the manager will randomly select your pre$-$

ferred formation out of $20$ players?

$($Hint: you would need the answer from question $2$ a as well.$)$