Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.5 - Assess Your Understanding - Applying the Concepts - Page 306: 43a

Answer

There are 125,000 different lock combinations.

Work Step by Step

Three numbers are necessary to open the lock. For each number there are 50 choices (repetitions are allowed). Using the Multiplication Rule of Counting (see page 298): $50\times50\times50=50^{3}=125,000$.
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