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? 725760 (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? 3628798

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help me. Why is b is wrong? Should it be 10! - 2! ?
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?
725760
(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?
3628798
(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? 725760 (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? 3628798 (Hint: See Exercise 9.3.13 with its solution in the "Read It" link.)
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