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How many ways can you have $1.05, with only using dimes, nickels, and quarters?

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    make a systematic listing of quarters, dimes and nickels to add up to $1.05, starting the the largest remaining possibility for each type of coin

    Q D N
    4 0 1
    3 3 0
    3 2 2
    3 1 4
    3 0 6
    2 5 1
    2 4 3
    ...
    ..
    0 1 19
    0 0 21

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