Dr. Liu is about to assign grades of A,B,C or D, where D is a failing grade, to his ADM class of 100 students. (a) How many different distributions of grades are possible (by “distribution” we consider only the number of people of each grade)? E.g., A=20, B=30, C=30, D=20 is one distribution. (b) How many different distributions of grades are possible, if we require that no fewer than 80% of the students may pass?

A First Course in Probability (10th Edition)
10th Edition
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Dr. Liu is about to assign grades of A,B,C or D, where D is a failing grade, to his ADM
class of 100 students.
(a) How many different distributions of grades are possible (by “distribution” we consider only the
number of people of each grade)? E.g., A=20, B=30, C=30, D=20 is one distribution.
(b) How many different distributions of grades are possible, if we require that no fewer than 80% of the
students may pass?

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