(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) 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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Question

Discrete Mathematics: Techniques of Counting:

Please check the images for questions.

(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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