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Question
The maximum number of rectangles that can be formed from a set of 5 parallel lines intersecting another set of 6 parallel lines is
Options:
A .  620
B .  150
C .  120
D .  180
E .  200
Answer: Option B
:
B
To form a rectangle we need four intersecting lines.
The first two parallel lines can be selected in 5C2 ways and the other two parallel lines can be selected in 6C2 ways.
Total number of parallelograms which can be formed= 10×15=150

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