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anonymous

  • 5 years ago

How many license plates can be made which have the form ##LLL (2 numbers followed by 3 letters with repetition allowed) ? A. 1,757,600 B. 175,600 C. 3,840,500 D. 2,947,000

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  1. anonymous
    • 5 years ago
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    10C2 times 26C3

  2. anonymous
    • 5 years ago
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    ohhh so it would be A?

  3. anonymous
    • 5 years ago
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    I dunno. use a calculator to find out.

  4. anonymous
    • 5 years ago
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    lol i did :)

  5. anonymous
    • 5 years ago
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    Thanks :) helpful very helpful!

  6. anonymous
    • 5 years ago
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    heh

  7. anonymous
    • 5 years ago
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    :)

  8. anonymous
    • 5 years ago
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    I'm not sure that's right because 10C2 doesn't allow for repetition.

  9. anonymous
    • 5 years ago
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    hold on. is it with repetition?

  10. anonymous
    • 5 years ago
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    (2 numbers followed by 3 letters with repetition allowed) ?

  11. anonymous
    • 5 years ago
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    Yes

  12. anonymous
    • 5 years ago
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    So then that WOULD be the answer correct?

  13. anonymous
    • 5 years ago
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    right, my bad. so it 2 numbers followed by letters with repetition. that means the letters can repeat, but not the numbers.

  14. anonymous
    • 5 years ago
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    ... I think the numbers and letters can repeat

  15. anonymous
    • 5 years ago
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    I.E. you can have 00 or 99, etc. and you can have LLL or AAA, etc.

  16. anonymous
    • 5 years ago
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    \[10\times 10 \times 26\times 26 \times26\]

  17. anonymous
    • 5 years ago
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    yeah I think it's A

  18. anonymous
    • 5 years ago
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    yeah it is A

  19. anonymous
    • 5 years ago
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    that is, if repetition is allowed for both numbers and letters, and it does look like it is allowed for both numbers and letters.

  20. anonymous
    • 5 years ago
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    thought so :) Yes im pretty sure it is :)

  21. gw2011
    • 5 years ago
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    The correct answer is A. Since repetition is allowed, then you have 10 numbers and 26 letters to choose in order to place in the positions indicated. Therefore, the solution is as follows: (10^2)(26^3) = 1,757,600

  22. anonymous
    • 5 years ago
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    Ahhh alrighty :) Thanks

  23. gw2011
    • 5 years ago
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    You're welcome

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