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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
 one year ago
 one year 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
 one year ago
 one year ago

This Question is Closed

Kira_YamatoBest ResponseYou've already chosen the best response.1
Is repetition of digits and alphabets allowed?
 one year ago

JorgeGBest ResponseYou've already chosen the best response.0
only repettiton of digits only 8 digits to be sure..
 one year ago

Kira_YamatoBest ResponseYou've already chosen the best response.1
Circles = space for letters Square = space for digits Numbers = no. of waysdw:1352605436090:dw
 one year ago

JorgeGBest ResponseYou've already chosen the best response.0
@Study23 I need help with my question...
 one year ago

rahul91Best ResponseYou've already chosen the best response.0
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
 one year ago

Study23Best ResponseYou've already chosen the best response.0
\(\ \large \text{ This is a problem involving permuations...} \) \(\ \large \text{So the first two places of the plate are letters.There are 26 letters.}\) \(\ \large \text{So the first place could have} \frac{1}{26} \text{letters}\).
 one year ago

Study23Best ResponseYou've already chosen the best response.0
So there are a possible 26 letters for the first digit, right?
 one year ago

Study23Best ResponseYou've already chosen the best response.0
Are you allowed to repeat the same number/letter?
 one year ago

JorgeGBest ResponseYou've already chosen the best response.0
Yes 26 letters for the first digit and yes allowed to repeat same number
 one year ago

JorgeGBest ResponseYou've already chosen the best response.0
is the answer 67600000 ?
 one year ago

Kira_YamatoBest ResponseYou've already chosen the best response.1
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
 one year ago
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