Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.4 - Page 189: 11

Answer

(a) Sunday, correct. (b) Sunday, correct. (c) Tuesday, correct.

Work Step by Step

Formula (4.4.1) states that DayN=(DayT+N)mod 7 (a) For DayT=6, N=15, we have DayN=(6+15)mod 7=(21)mod 7=0 or Sunday which is correct. (b) For DayT=0, N=7, we have DayN=(0+7)mod 7=(7)mod 7=0 or Sunday which is correct. (c) For DayT=4, N=12, we have DayN=(4+12)mod 7=(16)mod 7=2 or Tuesday which is correct.
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