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Now here's a tricky one!!!...
I'm trying to write some VBA code to generate a sequence of combinations of numbers and letters. A single letter will always be combined with a single number, but a letter will never be combined with another letter or a number will never be combined with another number (i.e.- combining unlike variable types in pairs, for example: 1A, 2A, 1B, 2B). Numbers always preceed letters in each pair. Also, the unlike pair combinations should be grouped for all possible unlike pair combinations (total possible unlike pair combinations=QtyVarTypeLetter*QtyVarTypeNumber). For example, if variable type Letter has two possibilities (A and B), and variable type Number also has two possibilities (1 and 2), then there would be 4 pair combinations in each group (e.g.- 1A, 2A, 1B, 2B). Additionally, like number pairs should be kept together (i.e.- not alternated) in each group. Now my question becomes, how do I generate all the possible permutations of the above described groups? In the example I've been describing there would be y permutations (I'm pretty sure that y=Letters!^Numbers*Numbers!=2^2*2=8). The permutations would be the following: 1A1B 2A2B 1B1A 2A2B 1A1B 2B2A 1B1A 2B2A 2A2B 1A1B 2B2A 1A1B 2A2B 1B1A 2B2A 1B1A Conceptually speaking, one thing to liken this to is rings on cones. If you have 2 blue rings and 2 red rings and two movable cones (1 and 2). Then what are all the possible combinations of rings on cones, with only ring color order and cone order being important, and needing to have exactly 2 different color rings on each cone (one ring must be red and one ring must be blue on each cone)? Thanks for your help on this!!! I know it isn't an easy one!!! |
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