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Math Help - Creating groups that don't repeat

  1. #1
    Marc
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    Creating groups that don't repeat

    If you have a class of 90 students:

    Year 1, you want to split them into 2 equal groups
    Year 2, 3 equal groups (or near equal)
    Year 3, 4 groups
    Year 4, 5 groups
    Year 5, 6 groups

    ****The students should not be in the same group as someone they have already been with (as much as possible)

    What formula can I use?
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  2. #2
    hpe
    hpe is offline
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    Quote Originally Posted by Marc
    If you have a class of 90 students:

    Year 1, you want to split them into 2 equal groups
    Year 2, 3 equal groups (or near equal)
    Year 3, 4 groups
    Year 4, 5 groups
    Year 5, 6 groups

    ****The students should not be in the same group as someone they have already been with (as much as possible)

    What formula can I use?
    You can't avoid that some students from year 1 will be in the same group again in year 2. For example, the 45 students who were in group A in year 1 must be spread among three groups in year 2. The best you can achieve then is that each group in year 2 has 15 students from group A of year 1 and 15 from group B of year 1.

    A reasonable mix can probably be achieved by randomly assigning each student to a new group in each year. For a better mix, consider using quasirandom numbers.
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