a. Determine a class schedule for Kathleen that most closely meets her preferences. 66. Kathleen Taylor is a freshman at Roanoke College, and she wants to develop her schedule forthe spring semester. Courses are offered with class periods either on Monday and Wednesday orTuesday and Thursday for 1 hour and 15 minutes duration, with 15 minutes between class peri-ods. For example, a course designated as 8M meets on Monday and Wednesday from 8:00 A.M.to 9:15 A.M.; the next class on Monday and Wednesday (9M) meets from 9:30 A.M. to 10:45 A.M.;the next class (11M) is from 11:00 A.M. to 12:15 P.M.; and so on. Kathleen wants to take the fol-lowing six freshman courses, with the available sections shown in order of her preference, basedon the professor who's teaching the course and the time:CourseSections Available11T, 12T, 9T, 11M, 12M, 9M, 8T, 8M11T, 11M, 14T, 14M, 8T, 8M9T, 11T, 14T, 11M, 12T, 14M, 12M, 9M14T, 11M, 12M, 14M, 9M, 8T, 8MMathHistoryEnglishBiologySpanishPsychology9T, 11M, 12M, 8T14T, 11T, 12T, 9T, 14M, 8MFor example, there are eight sections of math offered, and Kathleen's first preference is the 11Tsection, her second choice is the 12T section, and so forth.

There are total 6 courses given in the question. In the table timings are given for the courses.

Answered: Determine a class schedule for Kathleen…

Math

Probability

Determine a class schedule for Kathleen that most closely meets her preferences.

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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Question

a. Determine a class schedule for Kathleen that most closely meets her preferences.

66. Kathleen Taylor is a freshman at Roanoke College, and she wants to develop her schedule for
the spring semester. Courses are offered with class periods either on Monday and Wednesday or
Tuesday and Thursday for 1 hour and 15 minutes duration, with 15 minutes between class peri-
ods. For example, a course designated as 8M meets on Monday and Wednesday from 8:00 A.M.
to 9:15 A.M.; the next class on Monday and Wednesday (9M) meets from 9:30 A.M. to 10:45 A.M.;
the next class (11M) is from 11:00 A.M. to 12:15 P.M.; and so on. Kathleen wants to take the fol-
lowing six freshman courses, with the available sections shown in order of her preference, based
on the professor who's teaching the course and the time:
Course
Sections Available
11T, 12T, 9T, 11M, 12M, 9M, 8T, 8M
11T, 11M, 14T, 14M, 8T, 8M
9T, 11T, 14T, 11M, 12T, 14M, 12M, 9M
14T, 11M, 12M, 14M, 9M, 8T, 8M
Math
History
English
Biology
Spanish
Psychology
9T, 11M, 12M, 8T
14T, 11T, 12T, 9T, 14M, 8M
For example, there are eight sections of math offered, and Kathleen's first preference is the 11T
section, her second choice is the 12T section, and so forth.

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