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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

There are 7 seats in a row. Three persons take seats at random. The probability that the middle seat is always occupied and no two persons are consecutive is

Answer: (C)

Solution

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Number the seats 1 to 7. Seat 4 is occupied, so seats 3 and 5 must be empty. The other two persons use seats from and . Two persons on the same side would be

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Question ID VK-109741