Asked by Anonymous
three students are to be seated in a row of 10 chairs. What is the probability that they will be seated in adjacent seats
Answers
Answered by
MathMate
There are 10! ways to place 10 students in 10 chairs in a row.
There are 8! ways to arrange a group of 3 students with 7 other students.
Among the three students (in a group), they can arrange themselves in 3! different ways.
So the probability that they will be seated together is
(8!3!)/10!
There are 8! ways to arrange a group of 3 students with 7 other students.
Among the three students (in a group), they can arrange themselves in 3! different ways.
So the probability that they will be seated together is
(8!3!)/10!
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