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Multiplying permutations

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  1. #1
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    Multiplying permutations

    I have the formula =SUM((F6+H6+J6+L6+N6+P6+R6+T6+(F6*H6)+(F6*J6)+(F6*L6)+(F6*N6)+(F6*P6)+(F6*R6)+(F6*T6)+(H6*J6)+(H6*L6)+(H6*N6)+(H6*P6)+(H6*R6)+(H6*T6)+(J6*L6)+(J6*N6)+(J6*P6)+(J6*R6)+(J6*T6)+(L6*N6)+(L6*P6)+(L6*R6)+(L6*T6)+(N6*P6)+(N6*R6)+(N6*T6)+(P6*R6)+(P6*T6)+(R6*T6)+(F6*H6*J6)+(F6*H6*L6)+(F6*H6*N6)+(F6*H6*P6)+(F6*H6*R6)+(F6*H6*T6)+(F6*J6*L6)+(F6*J6*N6)+(F6*J6*P6)+(F6*J6*R6)+(F6*J6*T6)+(F6*L6*N6)+(F6*L6*P6)+(F6*L6*R6)+(F6*L6*T6)+(F6*N6*P6)+(F6*N6*R6)+(F6*N6*T6)+(F6*P6*R6)+(F6*P6*T6)+(F6*R6*T6)+(H6*J6*L6)+(H6*J6*N6)+(H6*J6*P6)+(H6*J6*R6)+(H6*J6*T6)+(H6*L6*N6)+(H6*L6*P6)+(H6*L6*R6)+(H6*L6*T6)+(H6*N6*P6)+(H6*N6*R6)+(H6*N6*T6)+(H6*P6*R6)+(H6*P6*T6)+(H6*R6*T6)+(J6*L6*N6)+(J6*L6*P6)+(J6*L6*R6)+(J6*L6*T6)+(J6*N6*P6)+(J6*N6*R6)+(J6*N6*T6)+(J6*P6*R6)+(J6*P6*T6)+(J6*R6*T6)+(L6*N6*P6)+(L6*N6*R6)+(L6*N6*T6)+(L6*P6*R6)+(L6*P6*T6)+(L6*R6*T6)+(N6*P6*R6)+(N6*R6*T6)+(P6*R6*T6)+(F6*H6*J6*L6)+(F6*H6*J6*N6)+(F6*H6*J6*P6)+(F6*H6*J6*R6)+(F6*H6*J6*T6)+(F6*H6*L6*N6)+(F6*H6*L6*P6)+(F6*H6*L6*R6)+(F6*H6*L6*T6)+(F6*H6*N6*P6)+(F6*H6*N6*R6)+(F6*H6*N6*T6)+(F6*H6*P6*R6)+(F6*H6*P6*T6)+(F6*H6*R6*T6)+(F6*J6*L6*N6)+(F6*J6*L6*P6)+(F6*J6*L6*R6)+(F6*J6*L6*T6)+(F6*J6*N6*P6)+(F6*J6*N6*R6)+(F6*J6*N6*T6)+(F6*J6*P6*R6)+(F6*J6*P6*T6)+(F6*J6*R6*T6)+(F6*L6*N6*P6)+(F6*L6*N6*R6)+(F6*L6*N6*T6)+(F6*L6*P6*R6)+(F6*L6*P6*T6)+(F6*L6*R6*T6)+(F6*N6*P6*R6)+(F6*N6*P6*T6)+(F6*P6*R6*T6)+(H6*J6*L6*N6)+(H6*J6*L6*P6)+(H6*J6*L6*R6)+(H6*J6*L6*T6)+(H6*J6*N6*P6)+(H6*J6*N6*R6)+(H6*J6*N6*T6)+(H6*J6*P6*R6)+(H6*J6*P6*T6)+(H6*J6*R6*T6)+(H6*L6*N6*P6)+(H6*L6*N6*R6)+(H6*L6*N6*T6)+(H6*L6*P6*R6)+(H6*L6*P6*T6)+(H6*L6*R6*T6)+(H6*N6*P6*R6)+(H6*N6*P6*T6)+(H6*N6*R6*T6)+(H6*P6*R6*T6)+(J6*L6*N6*P6)+(J6*L6*N6*R6)+(J6*L6*N6*T6)+(J6*L6*P6*R6)+(J6*L6*P6*T6)+(J6*L6*R6*T6)+(J6*N6*P6*R6)+(J6*N6*P6*T6)+(J6*P6*R6*T6)+(L6*N6*P6*R6)+(L6*N6*P6*T6)+(L6*N6*R6*T6)+(L6*P6*R6*T6)+(N6*P6*R6*T6)+(F6*H6*J6*L6*N6)+(F6*H6*J6*L6*P6)+(F6*H6*J6*L6*R6)+(F6*H6*J6*L6*T6)+(F6*H6*J6*N6*P6)+(F6*H6*J6*N6*R6)+(F6*H6*J6*N6*T6)+(F6*H6*J6*P6*R6)+(F6*H6*J6*P6*T6)+(F6*H6*J6*R6*T6)+(F6*H6*L6*N6*P6)+(F6*H6*L6*N6*R6)+(F6*H6*L6*N6*T6)+(F6*H6*L6*P6*R6)+(F6*H6*L6*P6*T6)+(F6*H6*L6*R6*T6)+(F6*H6*N6*P6*R6)+(F6*H6*N6*P6*T6)+(F6*H6*N6*R6*T6)+(F6*H6*P6*R6*T6)+(F6*J6*L6*N6*P6)+(F6*J6*L6*N6*R6)+(F6*J6*L6*N6*T6)+(F6*J6*L6*P6*R6)+(F6*J6*L6*P6*T6)+(F6*J6*L6*R6*T6)+(F6*J6*N6*P6*R6)+(F6*J6*N6*P6*T6)+(F6*J6*N6*R6*T6)+(F6*J6*P6*R6*T6)+(F6*L6*N6*P6*R6)+(F6*L6*N6*P6*T6)+(F6*L6*N6*R6*T6)+(F6*L6*P6*R6*T6)+(F6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6)+(H6*J6*L6*N6*R6)+(H6*J6*L6*N6*T6)+(H6*J6*L6*P6*R6)+(H6*J6*L6*P6*T6)+(H6*J6*L6*R6*T6)+(H6*J6*N6*P6*R6)+(H6*J6*N6*P6*T6)+(H6*J6*N6*R6*T6)+(H6*J6*P6*R6*T6)+(H6*L6*N6*P6*R6)+(H6*L6*N6*P6*T6)+(H6*L6*N6*R6*T6)+(H6*L6*P6*R6*T6)+(H6*N6*P6*R6*T6)+(J6*L6*N6*P6*R6)+(J6*L6*N6*P6*T6)+(J6*L6*N6*R6*T6)+(J6*L6*P6*R6*T6)+(J6*N6*P6*R6*T6)+(L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6)+(F6*H6*J6*L6*N6*R6)+(F6*H6*J6*L6*N6*T6)+(F6*H6*J6*L6*P6*R6)+(F6*H6*J6*L6*P6*T6)+(F6*H6*J6*L6*R6*T6)+(F6*H6*J6*N6*P6*R6)+(F6*H6*J6*N6*P6*T6)+(F6*H6*J6*N6*R6*T6)+(F6*H6*J6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6)+(F6*H6*L6*N6*P6*T6)+(F6*H6*L6*N6*R6*T6)+(F6*H6*L6*P6*R6*T6)+(F6*H6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6)+(F6*J6*L6*N6*P6*T6)+(F6*J6*L6*N6*R6*T6)+(F6*J6*L6*P6*R6*T6)+(F6*J6*N6*P6*R6*T6)+(F6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6)+(H6*J6*L6*N6*P6*T6)+(H6*J6*L6*N6*R6*T6)+(H6*J6*L6*P6*R6*T6)+(H6*J6*N6*P6*R6*T6)+(H6*L6*N6*P6*R6*T6)+(J6*L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6)+(F6*H6*J6*L6*N6*P6*T6)+(F6*H6*J6*L6*N6*R6*T6)+(F6*H6*J6*L6*P6*R6*T6)+(F6*H6*J6*N6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6*T6)+(N6*P6*T6)+(F6*N6*R6*T6)+(J6*N6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6)+(F6*H6*J6*L6*N6*P6*T6)+(F6*H6*J6*L6*N6*R6*T6)+(F6*H6*J6*L6*P6*R6*T6)+(F6*H6*J6*N6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6*T6))/100) can this be easily shortened?! Thank you

  2. #2
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    Re: Multiplying permutations

    I have 8 cells containing numbers. There are 255 permutations of these numbers. I want to multiply all the numbers in each permutation and then add the 255 results together. I have the formula

    =SUM((F6+H6+J6+L6+N6+P6+R6+T6+(F6*H6)+(F6*J6)+(F6*L6)+(F6*N6)+(F6*P6)+(F6*R6)+(F6*T6)+(H6*J6)+(H6*L6)+(H6*N6)+(H6*P6)+(H6*R6)+(H6*T6)+(J6*L6)+(J6*N6)+(J6*P6)+(J6*R6)+(J6*T6)+(L6*N6)+(L6*P6)+(L6*R6)+(L6*T6)+(N6*P6)+(N6*R6)+(N6*T6)+(P6*R6)+(P6*T6)+(R6*T6)+(F6*H6*J6)+(F6*H6*L6)+(F6*H6*N6)+(F6*H6*P6)+(F6*H6*R6)+(F6*H6*T6)+(F6*J6*L6)+(F6*J6*N6)+(F6*J6*P6)+(F6*J6*R6)+(F6*J6*T6)+(F6*L6*N6)+(F6*L6*P6)+(F6*L6*R6)+(F6*L6*T6)+(F6*N6*P6)+(F6*N6*R6)+(F6*N6*T6)+(F6*P6*R6)+(F6*P6*T6)+(F6*R6*T6)+(H6*J6*L6)+(H6*J6*N6)+(H6*J6*P6)+(H6*J6*R6)+(H6*J6*T6)+(H6*L6*N6)+(H6*L6*P6)+(H6*L6*R6)+(H6*L6*T6)+(H6*N6*P6)+(H6*N6*R6)+(H6*N6*T6)+(H6*P6*R6)+(H6*P6*T6)+(H6*R6*T6)+(J6*L6*N6)+(J6*L6*P6)+(J6*L6*R6)+(J6*L6*T6)+(J6*N6*P6)+(J6*N6*R6)+(J6*N6*T6)+(J6*P6*R6)+(J6*P6*T6)+(J6*R6*T6)+(L6*N6*P6)+(L6*N6*R6)+(L6*N6*T6)+(L6*P6*R6)+(L6*P6*T6)+(L6*R6*T6)+(N6*P6*R6)+(N6*R6*T6)+(P6*R6*T6)+(F6*H6*J6*L6)+(F6*H6*J6*N6)+(F6*H6*J6*P6)+(F6*H6*J6*R6)+(F6*H6*J6*T6)+(F6*H6*L6*N6)+(F6*H6*L6*P6)+(F6*H6*L6*R6)+(F6*H6*L6*T6)+(F6*H6*N6*P6)+(F6*H6*N6*R6)+(F6*H6*N6*T6)+(F6*H6*P6*R6)+(F6*H6*P6*T6)+(F6*H6*R6*T6)+(F6*J6*L6*N6)+(F6*J6*L6*P6)+(F6*J6*L6*R6)+(F6*J6*L6*T6)+(F6*J6*N6*P6)+(F6*J6*N6*R6)+(F6*J6*N6*T6)+(F6*J6*P6*R6)+(F6*J6*P6*T6)+(F6*J6*R6*T6)+(F6*L6*N6*P6)+(F6*L6*N6*R6)+(F6*L6*N6*T6)+(F6*L6*P6*R6)+(F6*L6*P6*T6)+(F6*L6*R6*T6)+(F6*N6*P6*R6)+(F6*N6*P6*T6)+(F6*P6*R6*T6)+(H6*J6*L6*N6)+(H6*J6*L6*P6)+(H6*J6*L6*R6)+(H6*J6*L6*T6)+(H6*J6*N6*P6)+(H6*J6*N6*R6)+(H6*J6*N6*T6)+(H6*J6*P6*R6)+(H6*J6*P6*T6)+(H6*J6*R6*T6)+(H6*L6*N6*P6)+(H6*L6*N6*R6)+(H6*L6*N6*T6)+(H6*L6*P6*R6)+(H6*L6*P6*T6)+(H6*L6*R6*T6)+(H6*N6*P6*R6)+(H6*N6*P6*T6)+(H6*N6*R6*T6)+(H6*P6*R6*T6)+(J6*L6*N6*P6)+(J6*L6*N6*R6)+(J6*L6*N6*T6)+(J6*L6*P6*R6)+(J6*L6*P6*T6)+(J6*L6*R6*T6)+(J6*N6*P6*R6)+(J6*N6*P6*T6)+(J6*P6*R6*T6)+(L6*N6*P6*R6)+(L6*N6*P6*T6)+(L6*N6*R6*T6)+(L6*P6*R6*T6)+(N6*P6*R6*T6)+(F6*H6*J6*L6*N6)+(F6*H6*J6*L6*P6)+(F6*H6*J6*L6*R6)+(F6*H6*J6*L6*T6)+(F6*H6*J6*N6*P6)+(F6*H6*J6*N6*R6)+(F6*H6*J6*N6*T6)+(F6*H6*J6*P6*R6)+(F6*H6*J6*P6*T6)+(F6*H6*J6*R6*T6)+(F6*H6*L6*N6*P6)+(F6*H6*L6*N6*R6)+(F6*H6*L6*N6*T6)+(F6*H6*L6*P6*R6)+(F6*H6*L6*P6*T6)+(F6*H6*L6*R6*T6)+(F6*H6*N6*P6*R6)+(F6*H6*N6*P6*T6)+(F6*H6*N6*R6*T6)+(F6*H6*P6*R6*T6)+(F6*J6*L6*N6*P6)+(F6*J6*L6*N6*R6)+(F6*J6*L6*N6*T6)+(F6*J6*L6*P6*R6)+(F6*J6*L6*P6*T6)+(F6*J6*L6*R6*T6)+(F6*J6*N6*P6*R6)+(F6*J6*N6*P6*T6)+(F6*J6*N6*R6*T6)+(F6*J6*P6*R6*T6)+(F6*L6*N6*P6*R6)+(F6*L6*N6*P6*T6)+(F6*L6*N6*R6*T6)+(F6*L6*P6*R6*T6)+(F6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6)+(H6*J6*L6*N6*R6)+(H6*J6*L6*N6*T6)+(H6*J6*L6*P6*R6)+(H6*J6*L6*P6*T6)+(H6*J6*L6*R6*T6)+(H6*J6*N6*P6*R6)+(H6*J6*N6*P6*T6)+(H6*J6*N6*R6*T6)+(H6*J6*P6*R6*T6)+(H6*L6*N6*P6*R6)+(H6*L6*N6*P6*T6)+(H6*L6*N6*R6*T6)+(H6*L6*P6*R6*T6)+(H6*N6*P6*R6*T6)+(J6*L6*N6*P6*R6)+(J6*L6*N6*P6*T6)+(J6*L6*N6*R6*T6)+(J6*L6*P6*R6*T6)+(J6*N6*P6*R6*T6)+(L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6)+(F6*H6*J6*L6*N6*R6)+(F6*H6*J6*L6*N6*T6)+(F6*H6*J6*L6*P6*R6)+(F6*H6*J6*L6*P6*T6)+(F6*H6*J6*L6*R6*T6)+(F6*H6*J6*N6*P6*R6)+(F6*H6*J6*N6*P6*T6)+(F6*H6*J6*N6*R6*T6)+(F6*H6*J6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6)+(F6*H6*L6*N6*P6*T6)+(F6*H6*L6*N6*R6*T6)+(F6*H6*L6*P6*R6*T6)+(F6*H6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6)+(F6*J6*L6*N6*P6*T6)+(F6*J6*L6*N6*R6*T6)+(F6*J6*L6*P6*R6*T6)+(F6*J6*N6*P6*R6*T6)+(F6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6)+(H6*J6*L6*N6*P6*T6)+(H6*J6*L6*N6*R6*T6)+(H6*J6*L6*P6*R6*T6)+(H6*J6*N6*P6*R6*T6)+(H6*L6*N6*P6*R6*T6)+(J6*L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6)+(F6*H6*J6*L6*N6*P6*T6)+(F6*H6*J6*L6*N6*R6*T6)+(F6*H6*J6*L6*P6*R6*T6)+(F6*H6*J6*N6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6*T6)+(N6*P6*T6)+(F6*N6*R6*T6)+(J6*N6*R6*T6)+(F6*H6*J6*L6*N6*P6*R6)+(F6*H6*J6*L6*N6*P6*T6)+(F6*H6*J6*L6*N6*R6*T6)+(F6*H6*J6*L6*P6*R6*T6)+(F6*H6*J6*N6*P6*R6*T6)+(F6*H6*L6*N6*P6*R6*T6)+(F6*J6*L6*N6*P6*R6*T6)+(H6*J6*L6*N6*P6*R6*T6))/100)

    can this be easily shortened?! Thank you

  3. #3
    Valued Forum Contributor mahju's Avatar
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    Re: Multiplying permutations

    Hi
    Please upload a sample file

    Regards
    Mark the thread as solved if you are satisfied with the answer.


    In your first post under the thread tools.

    Mahju

  4. #4
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    Re: Multiplying permutations

    hi thanks for your reply here is a sample file. hope you can help. many thanks
    Attached Files Attached Files

  5. #5
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    Re: Multiplying permutations

    Could you back up and explain the purpose of the calculation?
    Entia non sunt multiplicanda sine necessitate

  6. #6
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    Re: Multiplying permutations

    Hello. I am doing a weekly "Goliath" bet and would like to record the results. A Goliath bet is a full cover of all the 255 permutations of 8 events. These 8 events can be arranged into

    8 singles (A, B, C, D, E, F, G, H)
    28 doubles (A*B, A*C, A*D, etc)
    56 trebles (A*B*C, A*B*D, A*B*E, etc)
    70 four-folds (A*B*C*D, A*B*C*E, etc)
    56 five-folds (A*B*C*D*E, etc)
    28 six-folds (A*B*C*D*E*F,etc)
    8 seven-folds (A*B*C*D*E*F*G, etc)
    And one Accumulator (A*B*C*D*E*F*G*H)

    Basically for each permutation I wish to multiply the cells selected and then find the sum of all 255 permutations. If any of the events loses I can place a zero in that cell of leave it blank and the formula will work out the remaining winning selections.

    The formula above I have had to type by hand which was obviously very time consuming and lent itself to human error. Is there an easier way to do this calculation? Thank you

  7. #7
    Forum Expert shg's Avatar
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    Re: Multiplying permutations

    You mean like the order of results for a single-elimination tournament with eight teams?

    If not that, can you give an example?

  8. #8
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    Re: Multiplying permutations

    Hi Stan,
    see attachment if it helps,try to remove some of the number in yellow(result) and you'll see the differnce on your winning lines reduced.
    BTW i changed from letters to numbers(A to 01,........H to 08).
    I hope that is what you want.
    Best of luck.
    sem
    Attached Files Attached Files

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