# math

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A committee of 2 teachers and 3 students is to be randomly chosen from a group of 5 teacher and 6 students. the total number of different committees is?

• math -

2 committees with one teacher left over

• math -

Ways to choose 2 teachers from 5:
5!/[2!(3!)] = 5*4/2 = 10
ways to choose 3 students from 6
6!/[3!(3!)] = 6*5*4 /(3*2) = 20
10*20 = 200

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