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Math Help - 20 kids into playgroups of 4

  1. #1
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    Question 20 kids into playgroups of 4

    Hi all,

    Wonder if anyone can help me out. My girl have started in school, and the (we) parents have agreed that we want to setup play-groups of 4 kids into each group. Plan is that the group should swoop so that all kids will play with each other 3 times each. It should be possible within 20 rounds/dates.

    The time frame is every 2. week, but that is not relevant as I will change the dates/weeks to consider vacaton/holidays etc.

    What I need is a good plan on how I can ensure all kids have played with each other approx 3 times each.

    Can anyone help me out here ?

    Thanks,

    Jan
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  2. #2
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    I work in an office of about 600 people, 8 of us have made it into the office. So I've decided I'm going to spend my day trying an attempt this problem. I can't do it mathematically. So I'm using Excel.

    I've created a work book which has each play date along the top and each child along the side. There are then 3 validation tests to ensure they meet your criteria.

    I've created 5 groups called a,b,c,d,e so each child needs to appear in each group 4 times. And 4 groups within each play date.

    There's another validation where you add a childs name and it counts the number of times those children appear in the same group at the same time.

    I'm just populating the schedule with different patterns, I've tried a few so far and none work. I will continue to try but I thought you might like to try my method.
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  3. #3
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    Smile

    Thanks a lot for your help - very much appreciated !!!
    I have also thoughts that Excel should be able to fix this for me, but I have runned into the wall to get it to work.
    Also tried to get help in an Excel forum, but with no luck..

    I cannot open the attached Excel sheet at work, my company firewall don't allow this - so I have to wait until tonight - but I appreciate your help.

    Thanks a lot in advance.

    Jan
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  4. #4
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    I can't do it!

    I've instead populated each child randomly, and created a loop which tests random populations. If it finds one it will stop.

    It's running in the background, hopefully it will work it out.
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  5. #5
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    Thanks for your help anyway.
    I will look at the Excl sheet tonight...

    If anyone else, will make a try to make this happen, I would be happy !

    Jan
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  6. #6
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    Quote Originally Posted by RhysGM View Post
    I can't do it!

    It's running in the background, hopefully it will work it out.
    Hi RhysGM

    It has been running all night, nine hours without any luck. Can I set the terms down to minimus 3 or 2 times playdates ?
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