Question

the number of parallograms that can be formed from a set of four parallel lines intersecting another set of three parallel line is ??​

Answer 1

Total no of parallel lines =4

Intersecting lines =3

∴∴ The required number of parallelogram =4C2×3C24C2×3C2

4C2=4!2!2!=4×3×2!2×2!4C2=4!2!2!=4×3×2!2×2!

⇒6⇒6

3C2=3!2!1!=3×2!2!3C2=3!2!1!=3×2!2!

⇒3⇒3

4C2×3C2=6×34C2×3C2=6×3

⇒18⇒18

Hence...18 is the correct answer

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