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Seven persons are to be seated in a row....

Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is

A

`(1)/(3)`

B

`(1)/(6)`

C

`(2)/(7)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
(c) If two persons sit next to each other, then consider these two person as 1 group.
Now, we have to arrange 6 persons.
`therefore" Number of arrangement"=2!xx6!`
`"Total number of arrangement of 7 persons"=7!`
`"Required probability "=(2!6!)/(7!)=(2)/(7)`
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