#4. A particular high school has 4 clubs. The chess club with 20 members, the card game club with 15 members, the darts club with 13 members and ping pong club with 17 members. Out of these clubs, a committee of 12 members is to be selected to organize a club recruitment day that is put on by student activites. How many committees are there if a) there are no restrictions; b) there are 3 members from each club on the committee; c) exactly half of the committee must be members from the ping pong club; d) there are 3 members from the dart club and 4 members from the card game club on the committee; e) there are 4 members from the card game club or 3 members from the chess club on the committee; f) at least 10 members of the committee must be members of the chess club;