We have 5 books, including books A and B. We place them randomly on an empty shelf, one next to the other. In how many ways can they be placed so that: (a) books A and B do not stand next to each other b) two other books stand between books A and B?

We have 5 books, including books A and B. We place them randomly on an empty shelf, one next to the other. In how many ways can they be placed so that: (a) books A and B do not stand next to each other b) two other books stand between books A and B?

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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Question

3.70 We have 5 books, including books A and B. We place them randomly on an empty shelf, one next to the other. In how many ways can they be placed so that:
(a) books A and B do not stand next to each other
b) two other books stand between books A and B?

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