Create A Permutation List

Feb 20, 2008

I have several items that I would like to combine, lets call them characters A, B, C, D, E

Each character is situated in a different column, next to each other. Below, I would like to create a list of all possible combinations of these characters. The sequence is not important and each row should contain a unique combination of characters.

I have counted 31 combinations for the ABCDE set, namely

1 for ABCDE
5 for A, B, C, D, E each
5 for choosing 5 unique sets of four from a set of five (5!/(4!*(5-4)!)
10 for choosing 10 unique sets of three from a set of five (5!/(3!*(5-3)!)
10 for choosing 10 unique sets of two from a set of five (5!/(2!*(5-2)!)

To complicate matters, I have several other character strings where I would like a list of combinations. For example A, B, C, D, E, F, G, H 9 (a longer set).

By the way, each combination should be spread accross several columns (e.g. one colum per character, see the question marks in the table below) ....

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