certain type of door lock has five buttons labelled 1, 2, 3, 4, 5. It allows the owner to choose a 4-button sequential code for unlocking the door, where repeated buttons are allowed (e.g. 2143 is such a code, as is 3151). If a store has sold 2000 of these locks to different people, how many people are guaranteed to have the same code?

certain type of door lock has five buttons labelled 1, 2, 3, 4, 5. It allows the owner to choose a 4-button sequential code for unlocking the door, where repeated buttons are allowed (e.g. 2143 is such a code, as is 3151). If a store has sold 2000 of these locks to different people, how many people are guaranteed to have the same code?

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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