Six people, who are denoted by the letters A, B, C, D, E, F, are to occupy six adjacent seats in one row in a movie theater. In how many ways can they be seated so that: a) persons $D, E$ sit next to each other in the order given b) persons A, B, C, D will sit next to each other in the given order c) persons $A, B, C$ sit next to each other in any order d) two persons were sitting between persons A and B

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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3.71 Six people, who are denoted by the letters A, B, C, D, E, F, are to occupy six adjacent seats in one row in a movie theater. In how many ways can they be seated so that: a) persons $D, E$ sit next to each other in the order given
b) persons A, B, C, D will sit next to each other in the given order
c) persons $A, B, C$ sit next to each other in any order
d) two persons were sitting between persons A and B?

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