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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.3 - Problem 17e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.3 - Problem 17e

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Consider these functions from the set of teachers in a

ISBN: 9780073383095 37

Solution for problem 17E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 17E

Problem 17E

Consider these functions from the set of teachers in a school. Under what conditions is the function one-to-one if it assigns to a teacher his or her

a) office.

b) assigned bus to chaperone in a group of buses taking students on a field trip.

c) salary.

d) social security number.

Step-by-Step Solution:
Step 1 of 3

Solution:

Step1

Given that

A functions from the set of teachers in a school.

Step2

To find

We have to find conditions is the function one-to-one if it assigns to a teacher his or her?

Step3

One -to -One :- A function for which every element of the range of the function corresponds to exactly one element of the domain. We can write one-to-one as 1-1.

a.  Office.

1. The function one-to-one if it assigns to a teacher his or her Office.

Condition:-It depends on whether they share their office or not.Possible that every teacher has single office.

2.The function not one-to-one if it assigns to a teacher his or her Office.

Condition:- If they share their office then two or more than two teachers have the same office.

Step4

b) assigned bus to chaperone in a group of buses taking students on a field trip.

1. The function one-to-one if it assigns to a teacher his or her assigned bus to chaperone in a group of buses taking students on a field trip.

Condition:-Just a single teacher is a chaperone for a bus and no two teacher are chaperone  for same bus.

2.The function not one-to-one if it assigns to a teacher his or her assigned bus to chaperone in a group of buses taking students on a field trip.

Condition:- If two teacher are chaperone  for same bus.

Step5

c) salary.

The function not one-to-one if it assigns to a teacher his or her salary.

Step6

d) social security number.

The function one-to-one if it assigns to a teacher his or her social security number.

Condition:- Because each teacher will have only one social security number and no two teacher have same.

Step 2 of 3

Step 3 of 3

ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 17E from 2.3 chapter was answered, more than 867 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: Assigned, assigns, bus, buses, chaperone. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Consider these functions from the set of teachers in a school. Under what conditions is the function one-to-one if it assigns to a teacher his or hera) office.________________b) assigned bus to chaperone in a group of buses taking students on a field trip.________________c) salary.________________d) social security number.” is broken down into a number of easy to follow steps, and 47 words. The full step-by-step solution to problem: 17E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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