How Many Ways to Form Groups from Boys and Girls in a Classroom?

[Draggu]

Homework Statement

There are 15 boys and 19 girls in a room.
a) Find the number of different groups that contain exactly four girls and five boys.
b) How many groups of 14 have an equal number of boys and girls?
c) How many groups of 5 have more boys than girls?

Homework Equations

The Attempt at a Solution

a) C(19,4) * C(15,5)
=11639628

b & c I have no idea where to start.

 

[LCKurtz]

Isn't b just like a? If you have 14 people with equal numbers of boys and girls then how many boys? Girls?

And for c, what are the choices that qualify from 5-0, 4-1, 3-2, 2-3, 1-4, 0-5. Figure them out and add them up.