Discrete Mathematics and Its Applications, Seventh Edition

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

Chapter 6 - Section 6.1 - The Basics of Counting - Exercises - Page 397: 46

Answer

a) 90720 b)50400 c)80640

Work Step by Step

a) First we select 6 people such that bride is always in the picture = 1$\times$9$\times$8$\times$$\times$7$\times$6$\times$5=15120 Number of arrangements of bride = 6 Total arrangements = 6$\times$15120 = 90720 b) Again we pick 6 people such that bride and groom are always in the picture = 1$\times$1$\times$8$\times$7$\times$6$\times$5=1680. Ways to arrange bride and groom = 6P4 = 6$\times$5 = 30 Total arrangements = 30$\times$1680 = 50400. c) Number of ways in which either bride or groom is in picture = (Arrangements when bride is in picture - arrangement when both bride and groom in picture) + (Arrangements when groom is in picture - arrangement when both bride and groom in picture) i.e. (90720 - 50400) + (90720 - 50400) = 80640.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.