(1)There are 10 people who are going to spend the afternoon in 2 groups , one group goes to the theater and the other plays tennis . In how many ways can the group for tennis be selected if there must be at least 4 people in each group ?

is it (4x6)+(5x5)+(6x4)=73 ??

(2) A committe consisting of 2 men and 2 women is to be chosen from 5 men and 6 women . One of the women is the wife of one of the man . In how many ways can the committe be chosen if it must contain either the man and his wife or neither .

Not sure bout this >