A professor has a class with 19 students. Each student will receive a grade of A, B, C, D, or F. 1) In how many ways might the professor assign a grade of A, B, C, D, or F, to each of the 19 students in the class? 2) The professor's university is compiling statistics on the grade distributions and requests the grade distribution (i.e. the number of students in each grade category) from this class. How many grade distributions are possible for a class of 19 students? 3) How many grade distributions are possible for a class of 19 students if the sets of A-students, B-students, C-students, D-students, and F-students form a partition of the class?

A professor has a class with 19 students. Each student will receive a grade of A, B, C, D, or F. 1) In how many ways might the professor assign a grade of A, B, C, D, or F, to each of the 19 students in the class? 2) The professor's university is compiling statistics on the grade distributions and requests the grade distribution (i.e. the number of students in each grade category) from this class. How many grade distributions are possible for a class of 19 students? 3) How many grade distributions are possible for a class of 19 students if the sets of A-students, B-students, C-students, D-students, and F-students form a partition of the class?

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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