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For instance, if you have 8 teams and group them in triplets, how many triplets do you need so that each team plays the same number of times?

- Thread starter kaleidoscope
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- #1

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For instance, if you have 8 teams and group them in triplets, how many triplets do you need so that each team plays the same number of times?

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ideasrule

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Why wouldn't this be infinite? If repetition is allowed, you can make n groups, each containing m repetitions of the nth element. You can also make 2n groups (so 2 groups contain repetitions of the same element), or 3n, or 4n...How many groups size m can you make from n elements (m<n) such that each element is used the same number of times t (t>0)?

Would (1,1,1),(2,2,2),(3,3,3)...(8,8,8) be valid? Of course you can switch the numbers around; each team just needs to play 3 times.For instance, if you have 8 teams and group them in triplets, how many triplets do you need so that each team plays the same number of times?

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