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Math Help - Car licence plate

  1. #1
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    Car licence plate

    Dear All,

    Please help me to solve the following problem.

    A Cook Island car licence plate has two letters followed by a hyphen and then three digits.

    a. How many possible plates could be generated?

    My answer: 26x26x10x10x10 = 676,000

    b. How many plates could begin with the letter P followed by a T?

    Could you please help me to do the part b?

    Cheers
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  2. #2
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    1000.
    pt000,pt001,pt002,...,pt999.
    Are you sure that's the question?? Seems too easy??
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  3. #3
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    Quote Originally Posted by Debsta View Post
    1000.
    pt000,pt001,pt002,...,pt999.
    Are you sure that's the question?? Seems too easy??
    Yes, but how to do the part b?
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  4. #4
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    That's what I did???
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  5. #5
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    Quote Originally Posted by Debsta View Post
    That's what I did???
    Your answer for part b is 1000? Could you tell me why?
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  6. #6
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    Quote Originally Posted by turboman View Post
    Your answer for part b is 1000? Could you tell me why?

    He listed all the possibilities there. Another way to see it is that because you've locked the first two positions, the # of possibilities is 676,000 / 676 = 1000
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  7. #7
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    Quote Originally Posted by harbottle View Post
    He listed all the possibilities there. Another way to see it is that because you've locked the first two positions, the # of possibilities is 676,000 / 676 = 1000
    Thank you for your answer but I do not understand about your calculation. Could you tell me why?


    Cheers,
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  8. #8
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    There's only one choice for the first letter (because it has to be a P), there is only one choice for the second letter because it has to be a T, there are 10 choices for the first digit, 10 choices for the second digit and 10 choices for the third digit. Multiply these all together 1x1x10x10x10 =1000.
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  9. #9
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    Quote Originally Posted by turboman View Post
    Thank you for your answer but I do not understand about your calculation. Could you tell me why?


    Cheers,
    Count the favorable outcomes listed in post #2.

    Thread closed.
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