Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.1 The Fundamental Counting Principle - Exercise Set 11.1: 9

Answer

Total: 144 different orders. Sample orders: fish-peas-tea-cake fish-peas-tea-pie

Work Step by Step

The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. ---------- 1. The main course can be chosen in $4$ ways. 2. The vegetables can be chosen in $3$ ways. 3. The beverage can be chosen in $4$ ways. 4. The dessert can be chosen in $3$ ways. Applying the Principle, the total number of orders is $4\times 3\times 4\times 3=144$ Sample orders: fish-peas-tea-cake fish-peas-tea-pie
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