A serial number template consists of 3 alphabetic characters followed by 3 numbers. If letters cannot be duplicated, but numbers can (ABC999), how many combinations are possible? The 26 letters of the alphabet are reduced by one for each position filled, the 10 numerals are not.  Multiply the six possibilities together, and do not enter any punctuation into the answer field. Number of combinations: ______

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 4ECP: A product’s catalog number is made up of one letter from the English alphabet followed by a...
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A serial number template consists of 3 alphabetic characters followed by 3 numbers.

If letters cannot be duplicated, but numbers can (ABC999), how many combinations are possible?

The 26 letters of the alphabet are reduced by one for each position filled, the 10 numerals are not.  Multiply the six possibilities together, and do not enter any punctuation into the answer field.

Number of combinations: ______

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