Question 30

Mathematics Permutation and Combination Easy

The number of parallelograms that can be formed from a set of 4 parallel lines intersecting another set of 3 parallel lines is

(A) 6
(B) 9
(C) 12
(D) 18
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

A parallelogram is formed by choosing 2 lines from the first set and 2 lines from the second set.

Number = \(\binom{4}{2} \times \binom{3}{2} = 6 \times 3 = 18\)

Answer: (D) 18

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