There are 10 guests (1 is the host) in a conference. In how many ways can he accommodate his guests to be seated in a circular table if: a.) each guest can sit on any chair? b.) three of the guests would choose to sit next to each other all the time? c.) two of the guests would not want to sit next to each other?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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3. There are 10 guests (1 is the host) in a conference. In how many ways can he accommodate his
guests to be seated in a circular table if:
a.) each guest can sit on any chair?
b.) three of the guests would choose to sit next to each other all the time?
c.) two of the guests would not want to sit next to each other?
Transcribed Image Text:3. There are 10 guests (1 is the host) in a conference. In how many ways can he accommodate his guests to be seated in a circular table if: a.) each guest can sit on any chair? b.) three of the guests would choose to sit next to each other all the time? c.) two of the guests would not want to sit next to each other?
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