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Q.

Four people sit around a circular table, and each person will roll a normal six sided die once. The probability that no two people sitting next to each other will roll the same number is N1296. Then the value of  [N10]  is (where [.] denotes the greatest integer function)

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answer is 63.

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Detailed Solution

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When everyone gets a different number =6C4.4
When only two persons siting opposite to each other get same number  =6C3.3C1.2.2
When two pairs of persons sitting opposite to each other get same number  =6C2.2
So = N = 630

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Four people sit around a circular table, and each person will roll a normal six sided die once. The probability that no two people sitting next to each other will roll the same number is N1296. Then the value of   [N10]  is (where [.] denotes the greatest integer function)