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 - Page 693: 18

Answer

$10,000$

Work Step by Step

See page 690, The Fundamental Counting Principle: 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. --------- Each of the first three digits can be chosen in only one way. Ways of choosing the 4th digit ... 10 (any of the digits 0 - 9), 5th digit ... 10, 6th digit ... 10, 7th digit ... 10. Total codes possible (applying the Principle): 1$\times$1$\times$1$\times$10$\times$10$\times$10$\times$10$=10,000$ (This includes the number 699-0000. There are no constraints by which we should exclude it, so 10,000 remains as the answer)
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.