P and Q sit in a ring arrangement with 12 persons What is the probability that P and Q will sit...........

Quantitative Aptitude ( CCS) Probability

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P and Q sit in a ring arrangement with 12 persons. What is the probability that P and Q will sit together?

2/11

3//11

4/11

5/11

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Explanation:

n(S)= number of ways of sitting 12 persons at round table:
=(12-1)!=11!
Since two persons will be always together, then number of persons:
=10+1=11
So, 11 persons will be seated in (11-1)!=10! ways at round table and 2 particular persons will be seated in 2! ways.
n(A)= The number of ways in which two persons always sit together =10!×2
So probability = 10!*2!/11!= 2/11

Hence, option 1 is the correct answer.