एक परिवार की (4) समानांतर रेखाएँ और दूसरी परिवार की (5) समानांतर रेखाएँ हैं। इनसे बनने वाले समांतर चतुर्भुजों की संख्या कितनी है?
There are (4) parallel lines in one family and (5) parallel lines in another family. How many parallelograms are formed?
Explanation opens after your attempt
Correct Answer
D. (60)
Concept
A parallelogram needs (2) lines from each family, so \( \binom{4}{2}\binom{5}{2}=60 \). The key idea is choosing two parallel lines from each family.
Why this answer is correct
The correct answer is D. (60). A parallelogram needs (2) lines from each family, so \( \binom{4}{2}\binom{5}{2}=60 \). The key idea is choosing two parallel lines from each family.
Exam Tip
एक समांतर चतुर्भुज के लिए हर परिवार से (2) रेखाएँ चाहिए, इसलिए \( \binom{4}{2}\binom{5}{2}=60 \)। दो-दो समानांतर रेखाएँ चुनना मुख्य विचार है।
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