((1+x)^n) में \(x^r\) का coefficient \(^{n}C_r\) क्यों होता है?

Why is the coefficient of \(x^r\) in ((1+x)^n) equal to \(^{n}C_r\)?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (r) brackets से (x) और बाकी से (1) चुनते हैंBecause (x) is chosen from (r) brackets and (1) from the rest

Step 1

Concept

To form \(x^r\), choose (r) brackets from (n) brackets. In exams connect coefficients with selection.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (r) brackets से (x) और बाकी से (1) चुनते हैं / Because (x) is chosen from (r) brackets and (1) from the rest. To form \(x^r\), choose (r) brackets from (n) brackets. In exams connect coefficients with selection.

Step 3

Exam Tip

\(x^r\) बनाने के लिए (n) brackets में से (r) brackets चुनते हैं। परीक्षा में coefficient को selection से जोड़ें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

((1+x)^n) में \(x^r\) का coefficient \(^{n}C_r\) क्यों होता है? / Why is the coefficient of \(x^r\) in ((1+x)^n) equal to \(^{n}C_r\)?

Correct Answer: A. क्योंकि (r) brackets से (x) और बाकी से (1) चुनते हैं / Because (x) is chosen from (r) brackets and (1) from the rest. Explanation: \(x^r\) बनाने के लिए (n) brackets में से (r) brackets चुनते हैं। परीक्षा में coefficient को selection से जोड़ें। / To form \(x^r\), choose (r) brackets from (n) brackets. In exams connect coefficients with selection.

Which concept should I revise for this Mathematics MCQ?

To form \(x^r\), choose (r) brackets from (n) brackets. In exams connect coefficients with selection.

What exam hint can help solve this Mathematics question?

\(x^r\) बनाने के लिए (n) brackets में से (r) brackets चुनते हैं। परीक्षा में coefficient को selection से जोड़ें।