Statistics And Probability Question 169

Question: Seven people set themselves indiscriminately at round table. The probability that two distinguished person will be next to each is

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{2} $

C) $ \frac{1}{4} $

D) $ \frac{2}{3} $

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Answer:

Correct Answer: A

Solution:

  • [a] Seven people can seat themselves at a round table in 6! Ways. The number of ways in which two distinguished persons will be next to each other $ r=2(5)! $ . Hence, the required probability $ =\frac{2(5)!}{6!}=\frac{1}{3}. $