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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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

Mathematics
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Is repetition of digits and alphabets allowed?
only repettiton of digits only 8 digits to be sure..

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Other answers:

Circles = space for letters Square = space for digits Numbers = no. of ways|dw:1352605436090:dw|
squares
@rahul91 can you help?
is it 39,917,124?
@Study23 I need help with my question...
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
\(\ \large \text{ This is a problem involving permuations...} \) \(\ \large \text{So the first two places of the plate are letters.There are 26 letters.}\) \(\ \large \text{So the first place could have} \frac{1}{26} \text{letters}\).
So there are a possible 26 letters for the first digit, right?
Are you allowed to repeat the same number/letter?
Yes 26 letters for the first digit and yes allowed to repeat same number
is the answer 67600000 ?
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
Thanks I got it! (:

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