Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Review - Review Exercises - Page 442: 23

Answer

288

Work Step by Step

"Alternatives" imply the addition principle "Sequence of steps" implies the multiplication principle --------------------------- four red marbles, two green ones, one transparent one, three yellow ones two orange ones. (total = 12 marbles) ---------------------------- There are 3 yellow and 9 non-yellow marbles in the bag. At least 2 yellow = (exactly 2 yellow) OR (exactly 3 yellow) Alternative 1: 2 yellow, 3 non-yellow STEP 1: select 2 of the 3 yellows ... C(3,2)=3 STEP 2: select 3 of the 9 non-yellows ... C(9,3)=84 (total 1 = 3(84)=252) Alternative 2: 3 yellow, 2 non-yellow STEP 1: select 3 of the 3 yellows ... C(3,3)=1 STEP 2: select 2 of the 9 non-yellows ... C(9,2)=36 (total 2 = 1(36)=36) TOTAL = 252+36=288
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.