Would it be better to create a 4-digit PIN from the standard 10 digits (0 to 9) for the home security device on your wall where each digit is unique or one with a repeated digit within?  In other words, which of these make for a more secure PIN:  1397 or 1391?  Explain your reason mathematically.

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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Would it be better to create a 4-digit PIN from the standard 10 digits (0 to 9) for the home security device on your wall where each digit is unique or one with a repeated digit within?  In other words, which of these make for a more secure PIN:  1397 or 1391?  Explain your reason mathematically.

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