In how many ways can 5 people from a group of 8 people be seated around a circular table?

A

1200

B

560

C

2520

D

1344

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Question: In how many ways can 5 people from a group of 8 people be seated around a circular table?

Solution:

5 people out of 8 = 8C5

= 8!/5!(8 - 5)!

= 8!/(3! × 5!)

​= (8 × 7 × 6 × 5!)/(6 × 5!)

= 56

And 5 people around a circular table = (5 - 1)! = 4! = 24

Total ways = 24 × 56 = 1344

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Updated: 12 hours ago

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