Latest Accenture Aptitude Question SOLUTION: Fourteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together? a) 2/9 b)1/13 c)2/13 d)1/26

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Fourteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together?

a) 2/9 b)1/13 c)2/13 d)1/26

Asked In Accenture (12 years ago)

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Sumit Gupta  (11 years ago)

Answer : d) 1/26

Solution :

In a circle of n different persons, the total number of arrangements possible = (n - 1)!
Total number of arrangements = n(S) = (14 – 1)! = 13 !
Taking three persons as a unit, total persons = 12 (in 4 units)
Therefore no. of ways for these 12 persons to around the circular table = (12 - 1)! = 11!
In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =
n(E) = 11! X 3!
Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 11! X 3 ! divided by 13!
3 x 2 divided by 13 x 12 = 1/26

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