\(^{n}C_r\) के formula में ((n-r)!) denominator क्यों आता है?

Why does ((n-r)!) appear in the denominator of the formula for \(^{n}C_r\)?

Explanation opens after your attempt
Correct Answer

A. क्योंकि factorial (n!) में चुनी न गई वस्तुओं की arrangements भी शामिल होती हैंBecause (n!) includes arrangements of unselected objects too

Step 1

Concept

In the formula (n!) loses both unwanted tail ((n-r)!) and order (r!). In exams understand both parts of the combination denominator.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि factorial (n!) में चुनी न गई वस्तुओं की arrangements भी शामिल होती हैं / Because (n!) includes arrangements of unselected objects too. In the formula (n!) loses both unwanted tail ((n-r)!) and order (r!). In exams understand both parts of the combination denominator.

Step 3

Exam Tip

Formula में (n!) से unwanted tail ((n-r)!) और order (r!) दोनों हटते हैं। परीक्षा में combination denominator के दोनों भाग समझें।

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Mathematics Answer, Explanation and Revision Hints

\(^{n}C_r\) के formula में ((n-r)!) denominator क्यों आता है? / Why does ((n-r)!) appear in the denominator of the formula for \(^{n}C_r\)?

Correct Answer: A. क्योंकि factorial (n!) में चुनी न गई वस्तुओं की arrangements भी शामिल होती हैं / Because (n!) includes arrangements of unselected objects too. Explanation: Formula में (n!) से unwanted tail ((n-r)!) और order (r!) दोनों हटते हैं। परीक्षा में combination denominator के दोनों भाग समझें। / In the formula (n!) loses both unwanted tail ((n-r)!) and order (r!). In exams understand both parts of the combination denominator.

Which concept should I revise for this Mathematics MCQ?

In the formula (n!) loses both unwanted tail ((n-r)!) and order (r!). In exams understand both parts of the combination denominator.

What exam hint can help solve this Mathematics question?

Formula में (n!) से unwanted tail ((n-r)!) और order (r!) दोनों हटते हैं। परीक्षा में combination denominator के दोनों भाग समझें।