help me with all or whatever you can

9. Seven young boys have moved into a new community and would like to participate in littie league baseball. Three teams, namely the Falcons, the Jaguars and the Panthers, agree to take the 7 new players, with the Falcons taking 3 and the other teams taking 2 each. In how many ways can this be done? 10. For the final exam in a musical theater class, the three students John, Kim and Lisa are to present a program of 10 songs, with John singing 4 of them and Kim and Lisa singing 3 cach. In how many different orders can the program be presented? 11. The Chair of a University Department is making committee assignments for the coming year. There are 8 faculty members who have not yet received their committee assignments. If there are 4 openings on the Undergraduate Committee and 2 openings each on the Graduate and Personnel Committees, then how many possible committee assignments are there for the 8 faculty members? 12. Before leaving with his girlfriend to visit her parents, a young man visits a fruit market to purchase a gift. He learns that for $20 he can purchase a fruit basket containing 10 pieces of fruit, chosen from apples, oranges, peaches, pears and plumes. When asked what assortment of fruit he would like, he responds "I don't care." How many different assortments are possible? 13. At a buffet dinner, one of the people at a table seating 6 people) volunteers to go to the dessert table to bring back a dessert for each person at the table. When he arrives at the dessert table, he learns that he has three choicest apple pic, chocolate cake and ice cream. How many different choices does he have for desserts to select? 14. A professor has 10 identical new pens that he no longer needs. In how many ways can these pens be given to 3 students if (a) there are no other conditions? (b) every student must receive at least one pen? (e) every student must receive at least two pens? (d) every student must receive at least three pens? 15. Ten people have been selected to receive gift certificates to a restaurant. Two people will receive $200 gift certificates, three will receive $100 gift certificates and five will receive $50 gift certificates. In how many ways can these gift certificates be distributed? 16. A total of 12 students have volunteered to participate in student government for the con ing year. In an election, the top vote-getter becomes president of the student organization, the second highest vote-getter becomes vice-president and the next three highest vote-getters become members of the executive committee. How many outcomes are possible? 17. A total of 12 different computer science books are to be given to the top 3 participants in a programning contest. How many ways can the books be distributed if the person finishing first gets 6 books, the person finishing second gets 4 books and the person finishing third gets 2 books? 18. A bowl contains a large number of red, blue, green and yellow marbles (mixed together in the bowl). A young boy takes a handful of marbles and sees that he has selected 4 marbles. What is the number of possibilities for the 4 marlles be selected? 19. In how many ways can a man distribute 10 silver dollars to his three nephews if every nephew gets at least one silver dollar? 20. A coin collector has 10 identical silver coins and 6 identical gold coins. In how many ways can he place these 16 coins in a row if no two gold coins are placed next to each other