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Thread: [RESOLVED] dice problem

  1. Jul 15th, 2006, 05:12 AM #1
    Harsh Gupta
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    Resolved [RESOLVED] dice problem

    There is a six faced die.Numbering should be done from 1 to 6.How many ways the numbering can be done , with a condition that 1 and 6, 2 and 5 , 3 and 4 comes on the opposite sides of the die.
    is the answer 64??
    Last edited by Harsh Gupta; Jul 15th, 2006 at 06:18 AM.
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  2. Jul 15th, 2006, 11:35 AM #2
    Logophobic
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    Re: dice problem

    There are only two ways this can be done.

    1 (top)
    2-3-5-4
    6 (bottom)

    or

    1 (top)
    2-4-5-3
    6 (bottom)

    Any other arrangement, given the restrictions, is a rotation of one of these.
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  3. Jul 15th, 2006, 12:12 PM #3
    Harsh Gupta
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    Re: dice problem

    No the answer is 48. my previous calculation was wrong.

    i will post the method later. busy right now!!
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  4. Jul 15th, 2006, 12:36 PM #4
    Logophobic
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    Re: dice problem

    There are 48 non-unique solutions. Of those, 24 can be represented by the first of my solutions, and the other 24 by the second.
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