Mary, three female friends, and her brother, Peter, attend the theater. In the theater, empty seats. For the first half of the show, they decided to sit next to each other in this row. (a) Find the number of ways these five people can be seated in this row. For the second half of the show, they return to the same row of 10 empty seats. The four girls decided to sit at least one seat apart from Peter. The four girls do not have to sit next to each other. (b) Find the number of ways these five people can now be seated in this row.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Mary, three female friends, and her brother, Peter, attend the theater. In the theater, there is a row o
empty seats. For the first half of the show, they decided to sit next to each other in this row.
(a) Find the number of ways these five people can be seated in this row.
For the second half of the show, they return to the same row of 10 empty seats. The four girls decided to
sit at least one seat apart from Peter. The four girls do not have to sit next to each other.
(b) Find the number of ways these five people can now be seated in this row.
Transcribed Image Text:Mary, three female friends, and her brother, Peter, attend the theater. In the theater, there is a row o empty seats. For the first half of the show, they decided to sit next to each other in this row. (a) Find the number of ways these five people can be seated in this row. For the second half of the show, they return to the same row of 10 empty seats. The four girls decided to sit at least one seat apart from Peter. The four girls do not have to sit next to each other. (b) Find the number of ways these five people can now be seated in this row.
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