Two committees, one with six and one with seven people, are to be selected from a group of eighteen people, with no one person serving on both committees at the same time. In how many ways can this be done?

Answer 1

number of ways to choose first committee
= C(18,6) = 18564
that leaves 12 people and we choose 7 of those
= C(12,7) = 792

number of ways = 18564*792 = 14,702,688