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Math Help - [SOLVED] combinatorics

  1. #1
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    Red face [SOLVED] combinatorics

    a state has license plates with 5 alphanumerica combinations, so 26 letters and digits 0 through 9 can be used. What is possible number of combinations, with no order.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by msmapper View Post
    a state has license plates with 5 alphanumerica combinations, so 26 letters and digits 0 through 9 can be used. What is possible number of combinations, with no order.
    We can have:

    All 5 letters or
    4 Letters and 1 Number or
    3 Letters and 2 Numbers or
    2 Letters and 3 Numbers or
    1 Letter and 5 Numbers or
    All 5 numbers.

    Thus, the number of combinations is \binom{26}{5}+\binom{26}4\binom{10}1+\binom{26}3\b  inom{10}2+\binom{26}2\binom{10}3+\binom{26}1\binom  {10}4+\binom{10}5

    Does this make sense?

    --Chris
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  3. #3
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    Combinations

    Hi,

    How do I calculate that number in an easy way?. Thanks for your help!
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  4. #4
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    problem solved!

    , thanks for your help Chris, and I calced the final solution/
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