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Math Help - 6sided dice

  1. #1
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    6sided dice

    You have three 6sided dice.
    If you roll the 3 of them, all possible
    combos from 1 to 216 are possible.

    Of course, the faces are not numbered 1 to 6,
    plus some faces will have negative values;
    like combo=10 could be 20,30,-40.

    Highest face number is 74.

    What are the numbers on each dice?

    YES...I have the solution!!
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  2. #2
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    I count 15 valid solutions. I will post two of them:

    Spoiler:

    Solution 1

    Die 1:
    (70, 69, 68, 67, 66, 65)

    Die 2:
    (72, 66, 60, 54, 48, 42)

    Die 3:
    (74, 38, 2, -34, -70, -106)

    Solution 2

    Die 1:
    (74, 73, 72, 71, 70, 69)

    Die 2:
    (72, 66, 60, 54, 48, 42)

    Die 3:
    (70, 34, -2, -38, -74, -110)
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  3. #3
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    Nice.
    With this: "Highest face number is 74", I meant |74|; sorry, I wasn't clear.

    But if you found 15, you must have that one...
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  4. #4
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    Quote Originally Posted by Wilmer View Post
    Nice.
    With this: "Highest face number is 74", I meant |74|; sorry, I wasn't clear.

    But if you found 15, you must have that one...
    Actually, none of the 15 solutions I found satisfies that condition. They all have a negative face whose absolute value is greater than 74. In fact, the best I can do is -106.
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  5. #5
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    Here tizz:
    Spoiler:

    74,70,2,-2,-70,-74
    73,71,49,47,25,23
    69,68,61,60,53,52
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  6. #6
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    There are six more solutions, here's the two extreme ones:

    Spoiler:

    First Extreme

    Die 1
    (74, 70, 2, -2, -70, -74)

    Die 2
    (74, 72, 50, 48, 26, 24)

    Die 3
    (68, 67, 60, 59, 52, 51)

    Second Extreme

    Die 1
    (74, 70, 2, -2, -70, -74)

    Die 2
    (68, 66, 44, 42, 20, 18)

    Die 3
    (74, 73, 66, 65, 58, 57)
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