Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology course if no teacher is assigned to more than one section. Use this problem but answer in the context of the following two scenarios: (a) The section numbers, classrooms, and meeting times, etc. have been determined (i.e., the four sections are distinguishable). Find the number of teacher assignments in this case. (b) The four sections are indistinguishable, because the details have not been determined yet. Find the number of teacher assignments. In other words, whom among the six teachers will teach a section? (Hint: Part (a) and (b) ask you to think about when to use the permutation formula and the combination formula.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Find the number of ways that 6 teachers can
be assigned to 4 sections of an introductory psychology course if no teacher is assigned to more than one
section.

Use this problem but answer in the context of the following two 
scenarios:

(a) The section numbers, classrooms, and meeting times, etc. have been determined (i.e., 
the four sections are distinguishable). Find the number of teacher assignments in this 
case.
(b) The four sections are indistinguishable, because the details have not been determined 
yet. Find the number of teacher assignments. In other words, whom among the six 
teachers will teach a section?
(Hint: Part (a) and (b) ask you to think about when to use the permutation formula and 
the combination formula.)

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