   Chapter 9.3, Problem 17ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# (a) How many string of four hexadecimal digits do not have repeated digits? (b) How many strings of four hexadecimal digts have at least one repeated digit? (c) What is the probability that a randomly chosen string of four hexadecimal has at least one repeated digit/

To determine

(a)

To find how many strings of four hexadecimal digits do not have any repeated digits.

Explanation

Given information:

Calculate the number of 7 -digit telephone numbers without any repeated digits.

Concept used:

Calculation:

The number of 4 digits strings with no repeated digits is P(16,4)

To determine

(b)

To find how many strings of four hexadecimal digits have at least one repeated digit.

To determine

(c)

The probability that a randomly chosen string of four hexadecimal digits has at least one repeated digit.

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