There are 18 baseball player and 16 basketball players who are running a sports camp.

Question

There are 18 baseball player and 16 basketball players who are running a sports camp. In how many ways could they form a 4-member fund raising committee if the committee:

b) have exactly one baseball player? <- For this, is it 16! / 12! = 43,680??

c) have exactly two basketball players?

d) can be all basketball or all baseball players?

Answer 1

a) one baseball player and 3 basketball players so

C(18,1)*C(16,3)

b) two basketball players and two baseball players:

C(18,2)* C(16,2)

c) all baseball players

C(18,4)

all basketball players

C(16,4)