6. Form a group of four women and four men, how many committees of four can be formed with a) no restrictions? b) four women? c) three women and one man? d) two women and two men? e) four men?
7. In a subdivision, there are 10 houses on each side of a street. In how many ways can 7 trees be planted each in front of a different house if a) they must all be on the same side of the street? b) there must be 4 trees on one side and 3 trees on the other side?
8. In how many ways can 4 students be assigned to 9 class periods if a) there are no restrictions? b) each student must go to a different period?
9. In how many different ways can 25 students be assigned to 4 distinguishable study groups if at least six students must be in each group?
10. From a group of five women and four men, a) how many 4-person committees can be formed? b) how many 4-person committees can be formed with exactly 2 women? c) how many 4-person committees can be formed with at least 2 women?