How many different committees can be formed from 6 teachers and 32 students if the committee consists of 3 teachers and 4 students? The committee of 7 members can be selected in \( \square \) different ways.
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The number of ways to choose 3 teachers from 6 is given by the combination formula: \[ \binom{6}{3} = \frac{6!}{3!(6-3)!} = \frac{6 \times 5 \times 4}{3 \times 2 \times 1} = 20 \] Show more…
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