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March 24, 2017

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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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