Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of eight classrooms. Since the professor does not allow people to enter after the class has​begun, and there is very little time​ left, she decides to try just five of the rooms at random. How many of the possible different selections of five rooms will succeed in locating the​ class? There are ________________ successful selections. Note that the successful selections will be those that​ have, as one of the​ selections, the correct classroom.​ Thus, compute the number of ways to choose the incorrect classrooms.

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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Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of eight classrooms. Since the professor does not allow people to enter after the class has​begun, and there is very little time​ left, she decides to try just five of the rooms at random. How many of the possible different selections of five rooms will succeed in locating the​ class?

There are ________________ successful selections.

Note that the successful selections will be those that​ have, as one of the​ selections, the correct classroom.​ Thus, compute the number of ways to choose the incorrect classrooms.

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