Let's pick the chair, vice-chair and secretary.
Number of ways = 12*11*10 = 1320
which leaves 9 to choose from for the remaining members
which would be C(9,4)
number of ways to choose your group = 1320*C(9,4) = ....
In how many ways can a sub-committee consisting of a chairman, a vice chairman and a Secretary together with four other members be selected from a group of twelve councillors?
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