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: 16

Answer

2$\times$C(4,2)C(4,3)

Work Step by Step

"Alternatives" imply the addition principle "Sequence of steps" implies the multiplication principle -------------------- Alternative 1: 2 kings, 3 queens STEP 1: select 2 from 4 kings ....C(4,2) STEP 2: select 3 from 4 queens ... C(4,3) Alternative 1 total = C(4,2)C(4,3) Alternative 2: 3 kings, 2 queens STEP 1: select 3 from 4 kings ....C(4,3) STEP 2: select 2 from 4 queens ... C(4,2) Alternative 2 total = C(4,3)C(4,2) Total ... addition principle ... = C(4,2)C(4,3)+C(4,3)C(4,2) =2$\times$C(4,2)C(4,3)
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