If 5 parallel lines are intersected by 4 para | vedclass

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(B) To form a parallelogram,we need to select $2$ lines from the set of $5$ parallel lines and $2$ lines from the set of $4$ parallel lines.The number

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) To form a parallelogram,we need to select $2$ lines from the set of $5$ parallel lines and $2$ lines from the set of $4$ parallel lines.The number of ways to select $2$ lines from $5$ is given by $^5C_2 = \frac{5 	imes 4}{2 	imes 1} = 10$.The number of ways to select $2$ lines from $4$ is given by $^4C_2 = \frac{4 	imes 3}{2 	imes 1} = 6$.Therefore,the total number of parallelograms formed is $^5C_2 	imes ^4C_2 = 10 	imes 6 = 60$.

If $5$ parallel lines are intersected by $4$ parallel lines,then what is the number of parallelograms formed?

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