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#1 2006-07-18 00:56:02

nueng
Guest

The formula methods of "R" arrangement into "N" boxes

Find formula and prove it,or how formula are from,about the methods of "R" arrangement into "N" boxes by separate in  4 types.
         1.The same thing and the different boxes type
         2.The different thing and the different boxes type
         3.The same thing and the same boxes type
         4.The different thing and the same boxes type

#2 2006-07-18 09:33:12

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: The formula methods of "R" arrangement into "N" boxes

Maybe this will help: Combinations and Permutations.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#3 2006-07-18 19:20:18

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: The formula methods of "R" arrangement into "N" boxes

And also add to this list of things to find:
       5.  For even number of things and boxes, half of things the same, rest are different and half of the boxes are the same and the rest are different!!
       6.  For K things with 3 types of things and M boxes with 3 types of boxes,  A of type 1, B of type 2, C of type 3 where A + B + C = K and they are put into the M boxes of types X, Y, and Z quantities adding to M.  Also, if K < M, then some boxes will be empty after distribution, so formula might be different.  We will see when we figure this out...

Last edited by John E. Franklin (2006-07-18 19:21:22)


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