Statistics - combinations of subsets

[sara_87]

Springfield Football Club plan to field a team of 3 forwards, 4 mid-fielders and 3 defenders
and a goalkeeper. Assuming they have 8 forwards, 6 mid-fielders, 5 defenders and 2 goal-
keepers on their books how many teams can they make?

i tried doing:
(8C3) x (6C4) x (5C3) x (2C1)
but ithink it's wrong for some reason...is it wrong?

 

[Midy1420]

once you choose one person then you can't choose them again...therefore if you were to choose 3 people out of 10...you have 10 to choose from first, then 9 to choose from and 8 for the third choose. Therefore you have 10 x 9 x 8. I hope that's right?

 

[EnumaElish]

Springfield Football Club plan to field a team of 3 forwards, 4 mid-fielders and 3 defenders
and a goalkeeper. Assuming they have 8 forwards, 6 mid-fielders, 5 defenders and 2 goal-
keepers on their books how many teams can they make?

i tried doing:
(8C3) x (6C4) x (5C3) x (2C1)
but ithink it's wrong for some reason...is it wrong?

I think you have it right.

 

[Midy1420]

I was wrong i thought for some reason order mattered when choosing. Sorry