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JEE MATHEMATICS MCQ: COMBINATIONS

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There are 20 lines numbered as

1,2,3 \ldots 20

. All the odd numbered lines intersect at a point and all the even numbered lines are parallel. Find the maximum number of point of intersections.

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Correct option: A

101

Option A (101) is correct because with 10 parallel lines and 10 concurrent lines, the maximum number of intersection points is achieved when each parallel line intersects all concurrent lines, plus the single intersection point of the concurrent lines themselves.

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