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Math Help - Array fun

  1. #1
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    Array fun

    A 6 by 6 array is filled with 6 1's and 30 0's,
    such that each 1 has only 0's as immediate neighbours,
    horizontally, vertically and diagonally.
    As example:
    1 0 1 0 1 0
    0 0 0 0 0 0
    1 0 1 0 1 0
    0 0 0 0 0 0
    0 0 0 0 0 0
    0 0 0 0 0 0

    In how many different ways can the array be filled?
    Thanks from MarkFL
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  2. #2
    MHF Contributor
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    Re: Array fun

    Hint (this will show I've already done it!!): answer > 10,000 and < 100,000; all 5 digits even
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