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Math Help - 50 people permutation and combination

  1. #1
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    50 people permutation and combination

    Hi,
    I have struggling with one of the problem ,your help will be most appreciated.
    Q: there are 50 people, Need to make 5 people team ,they have 20 minutes time to know each other, then after 20 minutes each person should have new team with 5 people different from previous, again they discuss for 20 minutes get know each other again after 20 minutes they have to move to new team no repeat peoples.
    How to solve this problem, alll people meet each other and no repeat people in meeting.

    Thanks
    Prakash
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: 50 people permutation and combination

    As written, the problem is impossible. Imagine person 'A' as he cycles through these 5-person teams: each time he meets 4 new people, and the objective is for him to ultimately meet a total of 49 people with no repeats. This can't happen, because 49 is not divisible by 4; therefore in order for him to meet all 49 it will require him to be included in at least 13 sets of teams and there must be at least 3 repeats.
    Last edited by ebaines; March 18th 2013 at 12:56 PM.
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  3. #3
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    Re: 50 people permutation and combination

    3 repeats for 1 person or all?...ok if you take minimum repeats also then how solution looks
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