\(^{n}C_r\) में (r) और (n-r) interchangeable क्यों हैं लेकिन \(^{n}P_r\) में नहीं?
Why are (r) and (n-r) interchangeable in \(^{n}C_r\) but not in \(^{n}P_r\)?
Explanation opens after your attempt
A. Combination में chosen और not chosen sets complement होते हैं, permutation में ordered length बदल जाती हैIn combinations chosen and not chosen sets are complements, while in permutations ordered length changes
Concept
Combination counts only selection so complement works. In exams do not use complement symmetry when ordered slots appear.
Why this answer is correct
The correct answer is A. Combination में chosen और not chosen sets complement होते हैं, permutation में ordered length बदल जाती है / In combinations chosen and not chosen sets are complements, while in permutations ordered length changes. Combination counts only selection so complement works. In exams do not use complement symmetry when ordered slots appear.
Exam Tip
Combination सिर्फ selection गिनता है इसलिए complement works करता है। परीक्षा में ordered slots दिखें तो complement symmetry न लगाएं।
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