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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 18 without repeating numbers inside combinations. thanks 
May 17th, 2014, 05:03 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,854 Thanks: 2228 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 reordered I tried this Combinations and Permutations Calculator and got 255 

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