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

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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 Select the correct answer from above options

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Correct Answer - A 23 persons can sit at a round table in 22! Ways. The number of ways in which two particular persons sit together =21!×2! ∴ Probability that two particular persons sit together = 21!×2! 22! = 1 11 Hence, odd against two particular persons sit together are 10:1. [∵ odd against=P( ˉ A ):(A)]

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