Rocco is a member of the Aviation Club, which has 12 members. The members need to choose a 3-person Helicopter Committee and a 4-person Glider Committee. A member can serve on one of the committees or both. Rocco refuses to serve on both (but he can serve on one of the committees). In how many ways can they form the committees?
Rocco is a member of the Aviation Club, which has 12 members.
The members need to choose a 3-person Helicopter Committee and a 4-person Glider Committee.
A member can serve on one of the committees or both. Rocco refuses to serve on both (but he can serve on one of the committees).
In how many ways can they form the committees?
If rocco is on the helicopter committee then
there are 11C2*11C4 = 55*330 = 18150 ways
If rocco is on the Glider committee committee then
there are 11C3*11C3 = 165*165 = 27225 ways
If rocco is not on either committee then
there are 11C3*11C3 = 165*330 = 54450 ways
18150+27225+54450 = 99825 ways