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  • In how many ways can 8 people be seated in a row if 2 particular people must sit at the ends?  Option: 1 1260<div class=

In how many ways can 8 people be seated in a row if 2 particular people must sit at the ends?

 

Option: 1

1260


Option: 2

1680


Option: 3

2520


Option: 4

4032


Answers (1)

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We can consider the two particular people as one "entity" and then arrange this entity and the other 6 people in a row in 7 !  ways. However, the two particular people can be arranged among themselves in 2 ! Therefore, the total number of ways is 7 ! \times 2 !=1260

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