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how many different committees can be formed from 12 teachers and 42 students if the committee consists of 2 teachers and 2 students? the committee of 4 member can be seledcted how many different ways?
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well, there appear to be 12 choose 2 ways, to pick 42 choose 2 students ...
\[\binom{12}{2}\binom{42}{2}\]
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