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Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination1 Mark
Question
Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms formed.
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Answer

The first set has 4 parallel lines and another set has 5 parallel lines. To form a parallelogram, we need 2 lines from each set.$\therefore$ Required number of distinct parallelograms formed $={ }^4 C _2 \times{ }^5 C _2$

= 6 × 10

= 60

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