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May 17th, 2014, 11:39 AM   #1
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Smile 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
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May 17th, 2014, 05:03 PM   #2
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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)
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May 18th, 2014, 01:46 AM   #3
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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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