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JorgeG

  • 3 years ago

A license plate is identified by a string of two letters followed by five numbers. If each license plate is distinct, find the number of possible license plates. Answer 39,917,124 9,828,000 67,600,000 19,656,000

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  1. JorgeG
    • 3 years ago
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    @Kira_Yamato

  2. Kira_Yamato
    • 3 years ago
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    Is repetition of digits and alphabets allowed?

  3. JorgeG
    • 3 years ago
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    only repettiton of digits only 8 digits to be sure..

  4. Kira_Yamato
    • 3 years ago
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    Circles = space for letters Square = space for digits Numbers = no. of ways|dw:1352605436090:dw|

  5. JorgeG
    • 3 years ago
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    squares

  6. JorgeG
    • 3 years ago
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    @rahul91 can you help?

  7. JorgeG
    • 3 years ago
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    is it 39,917,124?

  8. JorgeG
    • 3 years ago
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    @Study23 I need help with my question...

  9. rahul91
    • 3 years ago
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    you have 7 positions . first two for alphabets right ,since each plates are different you have to solve this problem as for a non repetitive case .. are you OK this far

  10. Study23
    • 3 years ago
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    \(\ \large \text{ This is a problem involving permuations...} \) \(\ \large \text{So the first two places of the plate are letters.There are 26 letters.}\) \(\ \large \text{So the first place could have} \frac{1}{26} \text{letters}\).

  11. Study23
    • 3 years ago
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    So there are a possible 26 letters for the first digit, right?

  12. Study23
    • 3 years ago
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    Are you allowed to repeat the same number/letter?

  13. JorgeG
    • 3 years ago
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    Yes 26 letters for the first digit and yes allowed to repeat same number

  14. JorgeG
    • 3 years ago
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    is the answer 67600000 ?

  15. Kira_Yamato
    • 3 years ago
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    For the letters, You can have 26^2 = 676 ways of arranging. For numbers, You can have 10^5 = 10000 ways Multiply them and you get 676 00000

  16. JorgeG
    • 3 years ago
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    Thanks I got it! (:

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