SOLUTION: can the standard 'permutations' formula { nPr = n! / (n - r)! } be extended to consider multiple variables? or, is there another approach to solving this problem:
the above fo
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Question 1162853: can the standard 'permutations' formula { nPr = n! / (n - r)! } be extended to consider multiple variables? or, is there another approach to solving this problem:
the above formula calculates the permutations of subsets (r) from the set (n). But I want to calculate the permutations of 3 or more different variables ... so, how many permutations of colourful bookshelves would I have, if I'm stacking
100-1000 books of
2-10 colours on
5-100 shelves
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Just let 
be the total number of books, i.e. books per shelf times number of shelves, and 
be the number colors.
John
My calculator said it, I believe it, that settles it
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