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 May 17th, 2014, 11:39 AM #1 Newbie   Joined: May 2014 From: bournemouth Posts: 2 Thanks: 0 help with a calculation for an installation hello , I'm currently working on an interactive music installation in which the positioning of the users corresponds to a musical actuation. there are 8 different patterns , any number of patterns can be active at any time but none can be active twice . I was wondering is there a method of calculating the possible number of combinations as I think this would make a nice title of my piece so what I'm really asking is how to calculate the possible combinations of numbers 1-8 without repeating numbers inside combinations. thanks
 May 17th, 2014, 05:03 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,342 Thanks: 2465 Math Focus: Mainly analysis and algebra I'm not entirely sure what your piece involves, but if you want to count the number of arrangements of the numbers 1 to 8, e.g 12345678 21345678 23145678 ... 56381472 ... 87654321 There are 40320 of them (8! = 8x7x6x5x4x3x2x1)
 May 18th, 2014, 01:46 AM #3 Newbie   Joined: May 2014 From: bournemouth Posts: 2 Thanks: 0 sorry I should have explained my self better , it's patterns of music played on bells so pattern 1 /5/6 is the same as those patterns re-ordered I tried this Combinations and Permutations Calculator and got 255

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