A school has six irregular graduating seniors: Alan, Benjie, Corinne, Dennis, Eugene, and Ferdie. You must prepare a special final exam schedule for these students. Note: Students can take all the exams in one day but students with common subject cannot be scheduled on the same day. Given below are the names of the students and the subjects that each is currently taking up: Alan: English, Science, Politics Dennis: English, French, Art Benjie: Science, Politics, Philosophy Eugene: Politics, Art, Philosophy Corinne: Math, Philosophy, Art Ferdie: Math, Science, Music Draw a graph representing this problem. Using vertex coloring, find the fewest number of days required to schedule all exams. Suggest one possible schedule.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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2. A school has six irregular graduating seniors: Alan, Benjie, Corinne, Dennis, Eugene, and Ferdie. You
must prepare a special final exam schedule for these students.
Note: Students can take all the exams in one day but students with common subject cannot be scheduled
on the same day. Given below are the names of the students and the subjects that each is currently taking
up:
Alan: English, Science, Politics
Dennis: English, French, Art
Benjie: Science, Politics, Philosophy
Eugene: Politics, Art, Philosophy
Corinne: Math, Philosophy, Art
Ferdie: Math, Science, Music
Draw a graph representing this problem. Using vertex coloring, find the fewest number of days required
to schedule all exams. Suggest one possible schedule.
Transcribed Image Text:2. A school has six irregular graduating seniors: Alan, Benjie, Corinne, Dennis, Eugene, and Ferdie. You must prepare a special final exam schedule for these students. Note: Students can take all the exams in one day but students with common subject cannot be scheduled on the same day. Given below are the names of the students and the subjects that each is currently taking up: Alan: English, Science, Politics Dennis: English, French, Art Benjie: Science, Politics, Philosophy Eugene: Politics, Art, Philosophy Corinne: Math, Philosophy, Art Ferdie: Math, Science, Music Draw a graph representing this problem. Using vertex coloring, find the fewest number of days required to schedule all exams. Suggest one possible schedule.
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