1.

If 10 person are seated at a round table, then what is the probability that two particular persons sit together?

Answer»

Solution :Here, 10 PERSON are seated round table.
Total no. of ways in which 10 persons can sit along a round table = (10-1)!=9!
`therefore`Total no. of elementary events = 9!
Now if we regard two particular person as ONE person, then we will be left with only 9 persons. These 9 persons can be seated along a round table in (9-1)=8!
ALSO, those two particular persons can be arranged among themselves in 2! ways
`therefore`No. of favourable elementary events = `8!xx2!`
THUS, required probability `= (8!xx2!)/(9!)=2/9`


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