Question

A class consists of 16 boys,12girls, and 2 teachers. How many different committees of size eight can be formed if the committee must consist of 4 boys 3 girls and one teacher?
Choose 4 boys from 16 = C(16,4) = 1820
choose 3 girls from 12 = C(12,3) = 220
choose 1 teacher from 2 = C(2,1) = 2

no. of committees = 1820x220x2 = 800800

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