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1. There are 5 open faculty positions (HF) and 7 Operational Research (OR). Determine the number of ways that the positions can be filled according to each part. There are 10 applicants: 3 Human Factors a. The faculty is hired at random b. The hired faculty must consist of 1 HF and 4 OR person c. For this part only, consider the hired faculty will fill some specific positions, which consists of the lecturer, senior-assistant professor, associate professor, senior associate professor and distinguished professor. We know that distinguished professor has to be an OR person, lecturer has to be an HF person, and the rest of the committee is selected at random. In how many ways can we form the hired faculty?

1. There are 5 open faculty positions (HF) and 7 Operational Research (OR). Determine the number of ways that the positions can be filled according to each part. There are 10 applicants: 3 Human Factors a. The faculty is hired at random b. The hired faculty must consist of 1 HF and 4 OR person c. For this part only, consider the hired faculty will fill some specific positions, which consists of the lecturer, senior-assistant professor, associate professor, senior associate professor and distinguished professor. We know that distinguished professor has to be an OR person, lecturer has to be an HF person, and the rest of the committee is selected at random. In how many ways can we form the hired faculty?

A First Course in Probability (10th Edition)
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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1. There are 5 open faculty positions (HF) and 7 Operational Research (OR). Determine the number of ways that the positions can be filled according to each part. a. The faculty is hired at random b. The hired faculty must consist of 1 HF and 4 OR person c. For this part only, consider the hired faculty will fill some specific positions, which consists of the lecturer, senior-assistant professor, associate professor, senior associate professor and distinguished professor. We know that distinguished professor has to be an OR person, lecturer has to be an HF person, and the rest of the committee is selected at random. In how many ways can we form the hired faculty? There are 10 applicants: 3 Human Factors
Transcribed Image Text:1. There are 5 open faculty positions (HF) and 7 Operational Research (OR). Determine the number of ways that the positions can be filled according to each part. a. The faculty is hired at random b. The hired faculty must consist of 1 HF and 4 OR person c. For this part only, consider the hired faculty will fill some specific positions, which consists of the lecturer, senior-assistant professor, associate professor, senior associate professor and distinguished professor. We know that distinguished professor has to be an OR person, lecturer has to be an HF person, and the rest of the committee is selected at random. In how many ways can we form the hired faculty? There are 10 applicants: 3 Human Factors
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