Answered

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A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check

Sagot :

The maximum number of automobile registrations that the police may have to check is 72 license.

Concept Introduction:-

Mathematics defines time as an ongoing and continuous series of events that take place in order, from the past to the present to the future.

Given Information:-

We have been given that a witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by  3 digits, the first of which was a 5 . If the witness cannot recall the last  2 digits, but is certain that all 3 digits are different.

We have to find that the maximum number of automobile registrations that the police may have to check

According to the problem

Since digits are different, available digits are 0,1,2,3,4,6,7,8,9  ( as 5 is already used)

Number of available digits = 9

2nd digit can be any of the above 9 digits

3rd digit can be any of the remaining 8 digits

Police have to check 9*8 = 72 registrations.

Hence , The maximum number of automobile registrations that the police may have to check is 72 license.

Learn more about Combinations at :

https://brainly.com/question/11732255

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