   Chapter 9.4, Problem 15ES ### 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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# If n is a positive integer, how many integers from 0 through 2n must you pick in order to sure of getting at least one that is odd? At least one that is even?

To determine

The minimum number of integers to be picked from the given range to satisfy the given condition.

Explanation

Given information:

Integers from 0 to 2n

Calculation:

Integers from 0 to 2n is given.

From the theorem if m and n are integers and mn, then there are nm+1 integers from m to n inclusive,

The number of integers from 0 to 2n is 2n+1.

Now, the number of even integers between the above range is,

0 and,

2=214=226=23

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