Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.3 - Functions - Exercises - Page 153: 17

Answer

See step by step work for solution.

Work Step by Step

A function is one-one if it assigns two different values to two different inputs. So, the given function will be one-one if, a) Two teachers have two different offices. (otherwise two teachers having the same office will be mapped to single office which means function is not one-one) b) There should be only one teacher in a bus to chaperone (otherwise two teachers going in the same bus will be assigned the same bus, which means function is not one-one) c) Any two teachers do not have the same salary (otherwise two teachers having the same salary will be mapped to the same salary, which means function is not one-one) d) Two teachers should have different social security number (otherwise two teachers having same social security number will be mapped to the same security number , which means function is not one-one)
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