(n) distinct objects की arrangements में exactly (r) selected positions filled हों और बाकी empty हों, तो कौन-सा formula naturally आता है?

If exactly (r) selected positions are filled by (n) distinct objects and the rest are empty, which formula naturally appears?

Explanation opens after your attempt
Correct Answer

B. \(^{n}P_r\)

Step 1

Concept

Positions are ordered and objects are not repeated, so falling choices arise. In exams think of permutations when positions are distinct.

Step 2

Why this answer is correct

The correct answer is B. \(^{n}P_r\). Positions are ordered and objects are not repeated, so falling choices arise. In exams think of permutations when positions are distinct.

Step 3

Exam Tip

Positions ordered होते हैं और objects repeat नहीं होते, इसलिए falling choices मिलती हैं। परीक्षा में positions distinct हों तो permutation सोचें।

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Mathematics Answer, Explanation and Revision Hints

(n) distinct objects की arrangements में exactly (r) selected positions filled हों और बाकी empty हों, तो कौन-सा formula naturally आता है? / If exactly (r) selected positions are filled by (n) distinct objects and the rest are empty, which formula naturally appears?

Correct Answer: B. \(^{n}P_r\). Explanation: Positions ordered होते हैं और objects repeat नहीं होते, इसलिए falling choices मिलती हैं। परीक्षा में positions distinct हों तो permutation सोचें। / Positions are ordered and objects are not repeated, so falling choices arise. In exams think of permutations when positions are distinct.

Which concept should I revise for this Mathematics MCQ?

Positions are ordered and objects are not repeated, so falling choices arise. In exams think of permutations when positions are distinct.

What exam hint can help solve this Mathematics question?

Positions ordered होते हैं और objects repeat नहीं होते, इसलिए falling choices मिलती हैं। परीक्षा में positions distinct हों तो permutation सोचें।