(a) How many licence plates are possible if repetition of symbols is allowed? (b) How many licence plates do not contain any repeated symbol? (c) How many licence plates have at least one repeated symbol?

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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(exercise 9.3.7) Assume that licence plates in a region consist of four
to six symbols chosen from the 26 letters and the ten digits 0-9.
(a) How many licence plates are possible if repetition of symbols is
allowed?
(b) How many licence plates do not contain any repeated symbol?
(c) How many licence plates have at least one repeated symbol?
(d) What is the probability that a licence plane chosen at random has
a repeated symbol?
For each part of the above question remember to find the numerical
value of the final answer.
Transcribed Image Text:(exercise 9.3.7) Assume that licence plates in a region consist of four to six symbols chosen from the 26 letters and the ten digits 0-9. (a) How many licence plates are possible if repetition of symbols is allowed? (b) How many licence plates do not contain any repeated symbol? (c) How many licence plates have at least one repeated symbol? (d) What is the probability that a licence plane chosen at random has a repeated symbol? For each part of the above question remember to find the numerical value of the final answer.
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