8 persons are seated at a round table What is the probability that 3 particular persons sit together...........

Quantitative Aptitude ( CCS) Probability

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8 persons are seated at a round table. What is the probability that 3 particular persons sit together?

2/9

4/9

1/7

2/7

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Explanation:

3 particular person always sit together, then total person =5+1=6
6 persons will sit in (6-1)!=5! At round table.
No of ways in which 3 persons always sit together=5!*3!
No of ways of sitting 8 persons at round table=(8-1)!=7!.
Then P= (5!*3!)/7! =1/7.

Hence, option 3 is the correct answer.