## In another state, all license plates consist of 6 symbols chosen from the 26 letters of the alphabet and the digits 0-9. How many license pl

Question

In another state, all license plates consist of 6 symbols chosen from the 26 letters of the alphabet and the digits 0-9. How many license plates are possible if no repetitions are allowed and there must be exactly 3 letters followed by 3 numbers

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Mathematics
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2021-07-22T14:53:20+00:00
2021-07-22T14:53:20+00:00 1 Answers
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## Answers ( )

Answer:11,232,000 license plates are possible.

Step-by-step explanation:The order in which the symbols are chosen is important(ABC is a different plate than BAC), which means that the permutations formula is used to solve this question.

Permutations formula:The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:3 letters from a set of 26.

3 digits from a set of 10. So

11,232,000 license plates are possible.