51. The members of a woodwind quintet will be selected from a group of 7 clarinetists, 4 flutists, 3 oboists and 2 bassoonists. The quintet will consist of 2 clarinetists, oneflutist, 1 oboist and 1 bassoonist. The clarinetists will be designated as first clarinet and second clarinet, as the parts they play will be different. Assuming that each musician is equally likely to be selected, how many possible woodwind quintets can be formed?

59. The by-laws of an organization require that all votes be passed by a majority of the membership that is in attendance at the vote and also by a unanimous vote of the 4-member executive committee. Suppose that there are 11 members present at a vote, including all 4 members of the executive committee. In how many ways can a motion be passed?