Thread: just need to check

1. just need to check

so the question is this:

A football Team containing 4 professionals and 7 amateurs is to be chosen from 6 professionals and 10 amateurs. In how many ways can this be done?

and i worked it out like this:

6C4 x 10C7 [note: C is the Combination function: n!/(r!(n-r)!)]

so i just need to check if this is rights.. cos it's from a past paper and i don't have the answer for it doing my A-level next Saturday

thanks for your time

2. Hello, XonBugeja!

A football team containing 4 professionals and 7 amateurs
is to be chosen from 6 professionals and 10 amateurs.
In how many ways can this be done?

I worked it out like this: . $_6C_4 \times\, _{10}C_7$
. . . . . Correct!