Question : A 10-member mathematics department must select one person to chair tha discrete mathematics committee and two other people to co-chair the calculus committee.
(a) In how many ways can this be done?
(b) In how many ways can this be done if Professor Blue refuses to chair the discrete mathematics committee?
(c) In how many ways can this be done if Professor Green refuses to co- chair the calculus committee?
(d) In how many ways can this be done if Professor Blue refuses chair the to discrete mathematics committee and Professor Green refuses to co-chair the calculus committee?
(e) In how many ways can this be done if Professor Black and Professor White cannot work together as co-chairs?
(f) In how many ways can this be done if Professor Gray must be given one of the three jobs?