There are 14! ways to arrange the numbers 1-14

This turns out to be about

Results 1 to 11 of 11

- Aug 3rd 2011, 11:23 AM #1

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## Permatations

OK... I am in the procsess of building a spreadsheet to help me with route planning but I think I may have stumbled on a problem that someone might be able to help me with.

To put it simply, I have 14 objects and need to list the different combinations that they can be ordered into.

e.g 1,2,3,4,5,6,7,8,910,11,12,13,14

or

1,3,2,4,5,6,7,8,9,10,11,12,13,14

Am I right in saying that there are over eighty seven billion results / combinations or am I working this out wrong?

- Aug 3rd 2011, 11:25 AM #2

- Aug 3rd 2011, 11:26 AM #3

- Aug 3rd 2011, 11:31 AM #4

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## Re: Permatations

OK.

Well is there any way to find out the number of results under certain rules?

1 has to be before 2

3 has to be before 4

5 has to be before 6

7 has to be before 8

9 has to be before 10

11 has to be before 12

13 has to be before 14

By before I mean to the left of. so it can't start with 2,1 etc.

Is there anyway I can find out how many that leaves me with?

- Aug 3rd 2011, 11:56 AM #5

- Aug 3rd 2011, 12:17 PM #6

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- Aug 3rd 2011, 12:22 PM #7

- Aug 3rd 2011, 12:24 PM #8

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- Aug 3rd 2011, 12:24 PM #9

- Aug 4th 2011, 02:14 AM #10

- Aug 4th 2011, 02:23 AM #11