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Grade 12Algebra

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

Profile image of Samir Madan
12 Years agoGrade 12
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1 Answer

Profile image of bharat bajaj
12 Years ago
Cases for two persons sitting together = 21! X 2!
Total cases = 22 !
Cases for the persons not sitting together = 22! - 21! X 2! = 21 ! ( 22-2) = 21! X 20
Odds against = 21! X 20 / 21! X 2 = 10:1

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Bharat Bajaj
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IIT Delhi