(^{n}C_2=\frac{n(n-1)}{2}) किस सूत्र से सरल होकर आता है?

From which formula does (^{n}C_2=\frac{n(n-1)}{2}) simplify?

Explanation opens after your attempt
Correct Answer

D. (^{n}C_2=\frac{n!}{2!(n-2)!})

Step 1

Concept

In the combination formula after cancelling ((n-2)!) the term (n(n-1)) remains. In exams remember \(^{n}C_2\) as the pair-making formula.

Step 2

Why this answer is correct

The correct answer is D. (^{n}C_2=\frac{n!}{2!(n-2)!}). In the combination formula after cancelling ((n-2)!) the term (n(n-1)) remains. In exams remember \(^{n}C_2\) as the pair-making formula.

Step 3

Exam Tip

Combination formula में ((n-2)!) कटने पर (n(n-1)) बचता है। परीक्षा में \(^{n}C_2\) को जोड़े बनाने का सूत्र मानें।

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Mathematics Answer, Explanation and Revision Hints

(^{n}C_2=\frac{n(n-1)}{2}) किस सूत्र से सरल होकर आता है? / From which formula does (^{n}C_2=\frac{n(n-1)}{2}) simplify?

Correct Answer: D. (^{n}C_2=\frac{n!}{2!(n-2)!}). Explanation: Combination formula में ((n-2)!) कटने पर (n(n-1)) बचता है। परीक्षा में \(^{n}C_2\) को जोड़े बनाने का सूत्र मानें। / In the combination formula after cancelling ((n-2)!) the term (n(n-1)) remains. In exams remember \(^{n}C_2\) as the pair-making formula.

Which concept should I revise for this Mathematics MCQ?

In the combination formula after cancelling ((n-2)!) the term (n(n-1)) remains. In exams remember \(^{n}C_2\) as the pair-making formula.

What exam hint can help solve this Mathematics question?

Combination formula में ((n-2)!) कटने पर (n(n-1)) बचता है। परीक्षा में \(^{n}C_2\) को जोड़े बनाने का सूत्र मानें।