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A committee is to be formed consisting of 7 members from 8 parents, 5 teachers and the principal. How many ways can the committee formed if the committee consists of not more than 4 parents?

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0 parents: 0 ways (not enough people)
1 parent: 8 * 5C5 * 1C1
2 parents: 8C2 * 5C4 * 1C1 + 8C2 * 5C5
and so on
add them all up.

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