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It seems that people cannot determine whether you are looking for
permutations or combinations ... If you have the digits 1 to 5, 120 different *permutations* can be generated, consisting of the 5 digits arranged in different sequences, e.g. 12345 12354 12435 12453 .. .. etc. down to 54321 These digits will all add up to the same value of 15. On the other hand, you can generate 10 *combinations* of 2 digits each from this set of digits, e.g. 12 13 14 15 23 24 25 34 35 45 or 10 combinations of 3 digits each 123 124 125 134 135 145 234 235 245 345 or 5 combinations of 4 digits each 1234 1235 1245 1345 2345 or 1 combination of 5 digits 12345 or 5 "combinations" of 1 digit each 1,2,3,4,5 (if needed!), making a total of of 31 *combinations* of from 1 to 5 digits. The combinations will tend to add up to different numbers, although some combinations will add up to the same value as others, e.g. 34 and 25. What people need to know in order to help you, is, when you have 5 objects, do you want to generate all 120 *permutations* of the 5 objects or all 31 *combinations* of size 1 to 5, as described above, or a subset of combinations of N objects each. Permutations are all about sequence; combinations are all about selecting subsets, sequence is not important. In answering, you need to use the words permutations and combinations as they are used above. If it is permutations you want, look here http://www.j-walk.com/ss/excel/tips/tip46.htm |
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