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Math Help - code probability

  1. #1
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    code probability

    A security code contains 10 digits. The first 3 come from the letters {A,B,C,D,E,F,G,H,M,P,Q} Letters may repeat once used. The last 7 come from the numbers {0,1,. . .9}. Numbers may NOT repeat once used. How many security codes are possible?

    any help would be appreciated. thank you
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  2. #2
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    804988800
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  3. #3
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    work needed!!!

    can you please explain how you got that for an answer?
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  4. #4
    Junior Member atalay's Avatar
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    First 3 come from letters 26x26x26... (letters may repeated)

    The last 7 come from, first 10 numbers (0,1,...,9) and second 9, third 8 etc. because numbers may not repeated.

    Therefore, the answer is

    26x26x26x10x9x8x7x6x5x4
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