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: 31

Answer

About a month, (non-stop 24hrs/day)

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. ------------ Applying the Principle on 12 different buns, 30 sauces, 4 types of lettuce, and 3 types of tomatoes. The total number of possible hamburgers is $12\times 30\times 4\times 3=4320$ hamburgers At 10 minutes each, the test would last for $43,200$ minutes $\quad...$ divide with 60 (min. per hour) = 720 hours $\quad...$ divide with 24 (hours per day) = 30 days
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