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Statistics and Maple?

  1. Apr 6, 2016 #1
    1. The problem statement, all variables and given/known data

    We have three groups, group 1 contains 21 people, group two contains 18 people and group 3 contain 50 people.

    First we need to construct a team of 4 people of three groups.

    How many ways can such a team be constructed?

    I use combinate such that it will be calculated in Maple.

    numbcomb(21+18+50, 4) is number of ways this group can constructed.


    second question is tricky one.

    How many ways can the group of 4 be constructed if its a requirement that there must be at least one person from each group in the group of 4 ?

    3. The attempt at a solution

    I know its numbcomb(21+18+50,4) to be used to again. But I am not sure howto proceed.

    So any hints of help would be apriacated.
     
  2. jcsd
  3. Apr 6, 2016 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    Using numbcomb(89,4) again would be a mistake, unless you were willing to perform the very laborious process of then subtracting out the "illegitimate" combinations.

    Much easier: first make sure you choose 1 person from each group, giving you a partial group of 3 people. Then you need to choose 1 more person.
     
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