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jeka94
1 year ago
8

standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ

ent standard plates are possible in this system? (assume repetitions of letters and numbers are allowed.) there are different standard plates possible in this system.
Mathematics
1 answer:
RoseWind [281]1 year ago
5 0

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>
  • The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
  • The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

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