There are 33 groups of people: Group A of 4 people, Group B of 5 people, Group C of 6 people. In how many ways can these people receive 5 identical rewards if: 1) At Least 2 people from group B and at

There are 33 groups of people: Group A of 4 people, Group B of 5 people, Group C of 6 people. In how many ways can these people receive 5 identical rewards if: 1) At Least 2 people from group B and at least 2 people from group C must receive a prize. 2) At least one person from each group must receive a reward, but no more then 2 people from one group. I know that the answer to 1) is 950 and the answer to 2) is 1410, but I would really like an explanation.