Question

How many different teams of 7 people can be chosen, without regard to order, from a squad of 15?

would i do 15!/7! ?

Answer 1

Yes, you are right.

Answer 2

without regard to order => so you want a combination of 7 out of 15

which is 15C7 = 15!/7!(15-8)!

Answer 3

\[\binom{15}{7} \]

Answer 4

Oh no, I got confused between 15p7 and 15c7

Answer 5

this?

Answer 6

yes this is it

Answer 7

The squad consists of 6 forwards and 9 defenders. How many different teams containing 3 forwards and 4 defenders can be chosen?

would this be