The house of representatives is forming a committee of five to be made up of three from the ruling party and two from the opposition. How many ways are there of selecting the committee if six nominees come from the opposition.

Question

The house of representatives is forming a committee of five to be made up of three from the ruling party and two from the opposition.  How many ways are there of selecting the committee if six nominees come from the opposition.

valpey · Answer

How many nominees from the ruling party?

valpey · Answer

If there are x nominees from the ruling party it is xC3*6C2.

valpey · Answer

xCy = x!/(y!*(x-y)!)