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In a party 23 persons take their seats a...

In a party 23 persons take their seats at a round table. The odds against two particular persons sitting together are :

A

` 10 : 1`

B

`1 : 11`

C

`9 : 10`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
23 persons can sit at a round table in 22! Ways.
The number of ways in which two particular persons sit together `=21!xx2!`
`therefore` Probability that two particular persons sit together
`=(21!xx2!)/(22!)=(1)/(11)`
Hence, odd against two particular persons sit together are
`10 : 1. " " [because " odd against"=P(overline(A)) : (A)]`
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