A group of ten people are attending the movies together. (a) Two of the ten insist on sitting side-by-side. In how many ways can the ten be seated together in a row? (b) Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the ten be seated together in a row?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A group of ten people are attending the movies together.

(a) Two of the ten insist on sitting side-by-side. In how many ways can the ten be seated together in a row?

[Input box]

(b) Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the ten be seated together in a row?

[Input box]

(Hint: See Exercise 9.3.13 with its solution in the "Read It" link.)
Transcribed Image Text:A group of ten people are attending the movies together. (a) Two of the ten insist on sitting side-by-side. In how many ways can the ten be seated together in a row? [Input box] (b) Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the ten be seated together in a row? [Input box] (Hint: See Exercise 9.3.13 with its solution in the "Read It" link.)
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