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Dan
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Determine the number of circular permutations of 04 Jun 2005, 23:00
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Determine the number of circular permutations of (0,1,2,...9) in which 0 and 9 are not opposite?



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Determine the number of circular permutations of 04 Jun 2005, 23:16
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Dan
Determine the number of circular permutations of (0,1,2,...9) in which 0 and 9 are not opposite?
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what is a circular permutation?

10! - 8!*2! = 8!*88, perhaps
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Dan
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Determine the number of circular permutations of 05 Jun 2005, 07:34
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Circular perm is arranging objects around a circular framework.
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Dan
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Determine the number of circular permutations of 05 Jun 2005, 10:02
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yup! How did you go about doing it?
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gmat2me2
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Determine the number of circular permutations of 05 Jun 2005, 10:34
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yup! How did you go about doing it?
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Any circular permutation of 'n' things is (n-1)!

Now we have 10 people and 0 shouldnt be opposite 9.

Fix the positions of 9 and 0 . Consider them as 1 entity. So we have in total 1....8 + (9 and0) So 9 entities to be arranged circularly....which is 8! ways

All the people(0 to 9 ie., 10 ) can be done in 9! ways

So the answer is 9!-8! = 8!(9-1) = 8*8! ways



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