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specific number permutations in excel

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    specific number permutations in excel

    Hi everyone,

    The problem is that there are two sets of up to thirty three (33) numbers each, numbers are NOT duplicated in each set. The goal is to make an excel file that combines all the numbers from both sets in combinations of five numbers each. There should be a maximum of three numbers chosen from each set, in order to limit the total numbers chosen.

    I would like to see the five set listed on the left of the excel file and the intended numbers sets on the right of the same sheet. This would permit me to see at a glance if there are any missing numbers.

    For instance, from the first set of numbers 1, 2, 3 are chosen and from the second set numbers 30, 31 are chosen. Therefore the table would show as:

    1, 2, 3, 30, 31.
    1, 2, 3, 30, 32.
    1, 2, 3, 30, 33, ...

    1, 2, 4, 30, 31
    1, 2, 4, 30, 32, etc.

    This would continue until all of the numbers are used with each number listed in a separate excel box but next to each other without the comma.

    each numbered set of five numbers does not have any numbers repeated (i.e. the number three appears only once per set of five numbers). If further clarification is needed please go to:

    http://www.mathsisfun.com/combinator...alculator.html where n=33 and r=3. Repetitions are NOT allowed and order is important. This will calculate a total of 32,736 permutations to choose from. NOTE: this calculates the first set of three numbers only and is used as an example of the intended output, however the second set of numbers is not included there which I would like to have included in the excel file.

    Thank you in advance for you support in working this out.

  2. #2
    Forum Expert shg's Avatar
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    Re: specific number permutations in excel

    Permutations of 3 from 33 is 32,736. For each of those, you have to choose permutations of combinations of 2 from the other 33; that's 1,056, for a total of 34,569,216. Then it's twice that, because you can choose 3 from set 1 or 3 from set 2:

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    And that's assuming that ordering between set 1 and set 2 is not significant. If order between the two sets is significant, then the number of arrangements is

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    Yes, no?

    What's this for?
    Last edited by shg; 08-04-2013 at 04:27 PM.
    Entia non sunt multiplicanda sine necessitate

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    Re: specific number permutations in excel

    What do you mean by significant?

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