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a license plate consists of 2 letters followed by 4 digits. how many license plates are possible if the 1st digit cannot be 0, and letters and digits may repeat? a) 4,100,625 b) 6,760,000 c) 4,435,236 d) 5,625,000 e) 6,084,000 f) none of the above.

Respuesta :

The possible number of license plates is 6084000 .

We have to make a 6 word license plate in which first two are letters and remaining four are digits.

conditions are :

1. letters and digits can repeat themselves

2. 1st digit can't be 0.

taking into account these conditions

we know total letters are 26 and total digits are 10 ( 0,1,2,3,4,5,6,7,8,9)

Now if we divide number plate in 6 columns where first two are filler by letters and rest four by digits so

1st column can be filled in ways = 26

2nd column can be filled in ways = 26

3rd column can be filled in ways = 9 ( as zero is not allowed )

4th column can be filled in ways = 10

5th column can be filled in ways = 10

6th column can be filled in ways = 10

therefore, total number of ways = 26x26x9x10x10x10

                                                      = 6084000 ways

The possible number of license plates is 6084000 .              

learn more about permutation here :

https://brainly.com/question/16937255

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