(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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Discrete Mathematics: Techniques of Counting:

 

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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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