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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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