A large corporation has found that it has “outgrown” its current code system for routing inter office mail.  The current system places a code of three ordered, distinct nonzero digits on the mail.  The new proposal calls for the use of two ordered capital letters.  Does the new system have more code numbers than the old system?  If so, how many more locations will the new system enable the company to encode over the current system?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
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A large corporation has found that it has “outgrown” its current code system for routing inter office mail.  The current system places a code of three ordered, distinct nonzero digits on the mail.  The new proposal calls for the use of two ordered capital letters.  Does the new system have more code numbers than the old system?  If so, how many more locations will the new system enable the company to encode over the current system?

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