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Excluding the letters I, O, Q and Z, how many plates registration number can we make if we use numbers three numbers followed by a letter and three other numbers, what if we can't start with the number 0?

Excluding the letters I, O, Q and Z, how many plates registration number can we make if we use numbers three numbers followed by a letter and three other numbers, what if we can't start with the number 0?

A First Course in Probability (10th Edition)
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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Excluding the letters I, O, Q and Z, how many plates
registration number can we make if we use numbers
three numbers followed by a letter and three other numbers,
what if we can't start with the number 0?

Expert Solution
Step 1: Define the initial information


The number of letters in English alphabet = 26

Excluding the letters I, O, Q and Z  the number of letters we have = 26-4 = 22

The total number of digits = 10 (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)



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