ISI2018-DCG-15

Question

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

• A. $6$
• B. $9$
• C. $12$
• D. $18$

Comments

Answer $D$

Total number of parallel lines $= 4$

Total number of intersecting lines$ = 3$

$\therefore$ Total number of parallelograms possible $$=\binom{4}{2} \times \binom{3}{2} = 6 \times 3 = 18$$

$\therefore D$ is the correct answer.

Answer 1

Answer $D$

Total number of parallel lines $= 4$

Total number of intersecting lines$ = 3$

$\therefore$ Total number of parallelograms possible $$=\binom{4}{2} \times \binom{3}{2} = 6 \times 3 = 18$$

$\therefore D$ is the correct option.