द्विपद प्रसार में ( (1+x)^{12} ) का \( x^5 \) वाला गुणांक कितना है?

What is the coefficient of \( x^5 \) in the expansion of ( (1+x)^{12} )?

Explanation opens after your attempt
Correct Answer

D. (792)

Step 1

Concept

The coefficient is \( \binom{12}{5} \), so the answer is (792). In exams, for ( (1+x)^n ), the coefficient of \(x^r\) is \( \binom{n}{r} \).

Step 2

Why this answer is correct

The correct answer is D. (792). The coefficient is \( \binom{12}{5} \), so the answer is (792). In exams, for ( (1+x)^n ), the coefficient of \(x^r\) is \( \binom{n}{r} \).

Step 3

Exam Tip

गुणांक \( \binom{12}{5} \) है, इसलिए उत्तर (792) है। परीक्षा में ( (1+x)^n ) में \(x^r\) का गुणांक सीधे \( \binom{n}{r} \) लें।

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द्विपद प्रसार में ( (1+x)^{12} ) का \( x^5 \) वाला गुणांक कितना है? / What is the coefficient of \( x^5 \) in the expansion of ( (1+x)^{12} )?

Correct Answer: D. (792). Explanation: गुणांक \( \binom{12}{5} \) है, इसलिए उत्तर (792) है। परीक्षा में ( (1+x)^n ) में \(x^r\) का गुणांक सीधे \( \binom{n}{r} \) लें। / The coefficient is \( \binom{12}{5} \), so the answer is (792). In exams, for ( (1+x)^n ), the coefficient of \(x^r\) is \( \binom{n}{r} \).

Which concept should I revise for this Mathematics MCQ?

The coefficient is \( \binom{12}{5} \), so the answer is (792). In exams, for ( (1+x)^n ), the coefficient of \(x^r\) is \( \binom{n}{r} \).

What exam hint can help solve this Mathematics question?

गुणांक \( \binom{12}{5} \) है, इसलिए उत्तर (792) है। परीक्षा में ( (1+x)^n ) में \(x^r\) का गुणांक सीधे \( \binom{n}{r} \) लें।