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find the number of ways of choosing a school team of 5 pupils from 6 boys and 8 girls if 3 of the boys are cousins are either on the team or all not in the team.

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  1. Case 1: all the cousins are on the team ---> leaves 2 more to choose from the remaining 11 students = C(11,2) = 55

    Case 2: none of the cousins are on the team --- leaves 5 to choose from the remaining 11 students = C(11,5) = 462

    add them up

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    Reiny
  2. 1316

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