यदि \(^{n}P_r=^{n}P_{n-r}\) हर (r) के लिए नहीं होता, तो इसका मुख्य कारण क्या है?

If \(^{n}P_r=^{n}P_{n-r}\) is not true for every (r), what is the main reason?

Explanation opens after your attempt
Correct Answer

A. Permutation में complement symmetry सामान्यतः नहीं होतीComplement symmetry generally does not hold in permutations

Step 1

Concept

Complement symmetry is a property of combinations, not permutations. In exams keep identities of \(^{n}C_r\) and \(^{n}P_r\) separate.

Step 2

Why this answer is correct

The correct answer is A. Permutation में complement symmetry सामान्यतः नहीं होती / Complement symmetry generally does not hold in permutations. Complement symmetry is a property of combinations, not permutations. In exams keep identities of \(^{n}C_r\) and \(^{n}P_r\) separate.

Step 3

Exam Tip

Complement symmetry combination की property है, permutation की नहीं। परीक्षा में \(^{n}C_r\) और \(^{n}P_r\) की identities अलग रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(^{n}P_r=^{n}P_{n-r}\) हर (r) के लिए नहीं होता, तो इसका मुख्य कारण क्या है? / If \(^{n}P_r=^{n}P_{n-r}\) is not true for every (r), what is the main reason?

Correct Answer: A. Permutation में complement symmetry सामान्यतः नहीं होती / Complement symmetry generally does not hold in permutations. Explanation: Complement symmetry combination की property है, permutation की नहीं। परीक्षा में \(^{n}C_r\) और \(^{n}P_r\) की identities अलग रखें। / Complement symmetry is a property of combinations, not permutations. In exams keep identities of \(^{n}C_r\) and \(^{n}P_r\) separate.

Which concept should I revise for this Mathematics MCQ?

Complement symmetry is a property of combinations, not permutations. In exams keep identities of \(^{n}C_r\) and \(^{n}P_r\) separate.

What exam hint can help solve this Mathematics question?

Complement symmetry combination की property है, permutation की नहीं। परीक्षा में \(^{n}C_r\) और \(^{n}P_r\) की identities अलग रखें।