From a group of 11 people (5 men and 6 women), we have to form 3

committees. Committee A and B consist of 4 people and committee C consists

of 3 people. How many diﬀerent possibilities are there

a) in total.

b) if one of the men does not want to be in the committee A.

c) if one of the men does not want to be in the committee A and one of the

women does not want to be in the committee C.

d) if two of the women do not want to be in the same committee.

e) if one of the men and one of the women do not want to be in the same

committee.

f ) if committee C has to consist only of women.

g) if there has to be at least one men in each committee.

(any form of help is appreciated. thanks.)