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Q.

Assertion (A) : If 5 parallel lines intersect 4 parallel lines, then the number of parallelograms formed is 80 

Reason (R) : The number of parallelograms formed when a set of m parallel lines are intersecting another set of n parallel lines is  mC2×nC2

The correct answer is  

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a

Both A and R are true and R is the correct explanation of A 
 

b

A is false but R is true 
 

c

Both A and R are true but R is not correct explanation of A 
 

d

A is true but R is false 
 

answer is D.

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Detailed Solution

A set of 5 parallel lines intersect another set of 4 parallel lines

 Number of parallelograms formed = 5C2×4C2                                                                   =10×6                                                                   =60

   A is false, R is true

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