# Chapter 11 - Counting Methods and Probability Theory - 11.1 The Fundamental Counting Principle - Exercise Set 11.1 - Page 693: 19

676,000

#### 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 1st letter: 26 2nd letter: 26 (can be the same as the first), 1st digit: 10 (any of 0-9), 2nd digit: 10, 3rd digit: 10. Total: 26$\times$26$\times$10$\times$10$\times$10=676,000

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