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Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms that can be formed.

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Question

Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms that can be formed.

Sum
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Solution

We need 2 lines from each set.
Required number = 4C2 × 5C2 = 6 × 10 = 60

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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 93]

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Balbharati Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 20 | Page 93

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