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The number of ways in which 5 boys and 3 girls can sit around a round table so that all the girls are not sit together is
- a)4020
- b)4120
- c)4220
- d)4320
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The number of ways in which 5 boys and 3 girls can sit around a round ...
The correct option is D.
Number of ways in which 8 people can sit around a round table
= (8 — 1)! = 5040 ways
If three girls sit together, we consider it as 1 group and these
three girls can sit in 3! ways.
So, number of ways in which 3 girls sit together in a
the circular table of 8 people is 3!5! = 720.
Required number of ways in which no three girls sit together =
5040 -720 = 4320
Most Upvoted Answer
The number of ways in which 5 boys and 3 girls can sit around a round ...
The correct option is D.
Number of ways in which 8 people can sit around a round table
= (8 — 1)! = 5040 ways
If three girls sit together, we consider it as 1 group and these
three girls can sit in 3! ways.
So, number of ways in which 3 girls sit together in a
the circular table of 8 people is 3!5! = 720.
Required number of ways in which no three girls sit together =
5040 -720 = 4320
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Community Answer
The number of ways in which 5 boys and 3 girls can sit around a round ...
Arrange 5 boys and 3 girls randomly on round table in8-1!ways. Firstly arrange girls all together in 3!ways on round table then arrange boys in 5!ways. That is 5!×3!Now, total - all girls together =7!- 5!×3!=4320
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The number of ways in which 5 boys and 3 girls can sit around a round table so that all the girls are not sit together isa)4020b)4120c)4220d)4320Correct answer is option 'D'. Can you explain this answer?
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