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KVPY SX SB Exam 19-Nov-2017 Question Paper

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Question : 8

Total: 120

Thirty two persons X1,X2,.....,X32 are randomly seated around a circular table at equal intervals. Two persons Xi and Xj are said to be within earshot of each other if there are at most three persons between them on the minor arc joining Xi and Xj . The probability that X1 and X2 are within earshot of each other is,
(Here(

)

(
32
2
)30!
8(32!)
(
32
2
)30!
4(32!)
8
31
4
31

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