If there are 10 parents and 8 teachers nominated for positions on the school council, how many different committees can there be?

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A school council consists of 12 members, 6 of whom are parents, 2 are students, the Principal and the remainder are teachers. The school captain and vice-captain must be on the council. If there are 10 parents and 8 teachers nominated for positions on the school council, how many different committees can there be?