A witness to a hit-and-run accident told the police that the license number contained the letters RZH followed by a letter and 3 digits, the first of which is a 7. If the witness cannot recall the last 4th letter and the last 2 digits, but he is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A witness to a hit-and-run accident told the police that the license number contained the letters RZH followed by a letter and 3 digits, the first of which is a 7. If the witness cannot recall the last 4th letter and the last 2 digits, but he is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.
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