In the annual picnic for STA 201 course teachers, 11 faculties (including a pair of twins, Snigdho and Mugdho) have been selected for a game of musical chair. (A game where all the participants have to sit on chairs arranged in circular fashion). a. How many ways can all those 11 faculties be arranged at the beginning of the game of musical chair? b. If Snigdho and Mugdho are determined about not sitting beside each other in the first round, how many ways can they sit so that they do not have to sit on adjacent chairs?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
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In the annual picnic for STA 201 course teachers, 11 faculties (including a pair of twins, Snigdho
and Mugdho) have been selected for a game of musical chair. (A game where all the participants
have to sit on chairs arranged in circular fashion).
a. How many ways can all those 11 faculties be arranged at the beginning of the game of musical
chair?
b. If Snigdho and Mugdho are determined about not sitting beside each other in the first round,
how many ways can they sit so that they do not have to sit on adjacent chairs?
c. What is the probability that Snigdho and Mugdho will not be adjacent to each other?
[Hint: Probability of an event A, P (A) = No.of outcomes (ways) under event A
Total no of possible outcomes
]

d. After 5 teachers being eliminated from the game, in how many ways can the remaining
teachers be arranged in circular fashion?

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