document.write( "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:\r
\n" ); document.write( "\n" ); document.write( "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
\n" ); document.write( "100-1000 books of
\n" ); document.write( "2-10 colours on
\n" ); document.write( "5-100 shelves \n" ); document.write( "

Algebra.Com's Answer #786749 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Just let

be the total number of books, i.e. books per shelf times number of shelves, and

be the number colors.
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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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