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March 3, 2015

March 3, 2015

Posted by **Mathsfreak** on Thursday, April 18, 2013 at 10:38am.

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**Steve**, Thursday, April 18, 2013 at 10:45amAre the runners arranged in any particular order? If not, then any two numbers might be next to each other. So only 1 runner can be used.

If we pick the lowest-numbered n runners, then since √1000 = 31.6, we need to make sure that all numbers are less than that. So, if there are only 31 runners, then no two numbers can multiply to be greater than 1000.

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**Mathsfreak**, Thursday, April 18, 2013 at 10:53amI tried using circular permutations......but the answer didn't tally.Also..............31 is a wrong answer

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**Steve**, Thursday, April 18, 2013 at 10:57amwell, there must be some other restriction on which numbers may be chosen, or how they may be arranged. I may have to get back to you on that.

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**Mathsfreak**, Thursday, April 18, 2013 at 11:04amIn any order ,I guess, as it hasn't been particularly specified!The question is an exact copy from the springer book on 'Combinatorics'.

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**BrilliantLover**, Friday, April 19, 2013 at 1:55amThe question is an exact copy from the springer book on 'Combinatorics'.

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**Mathsfreak**, Friday, April 19, 2013 at 4:15amMind ur language,geezer.What on this earth is Brilliant anyways.Please check out 'The 1001 combinatorics problems' by 'Springer' problem #79 before blaming me..........:p

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