जब (n) even हो, तो \({}^{n}C_r\) का unique maximum किस (r) पर होता है?

When (n) is even, at which (r) does \({}^{n}C_r\) have a unique maximum?

Explanation opens after your attempt
Correct Answer

A. \(r=\frac{n}{2}\)

Step 1

Concept

For even (n), the middle index is single. In exams identify the central term by symmetry and ratio.

Step 2

Why this answer is correct

The correct answer is A. \(r=\frac{n}{2}\). For even (n), the middle index is single. In exams identify the central term by symmetry and ratio.

Step 3

Exam Tip

Even (n) में middle index single होता है। परीक्षा में symmetry और ratio से central term पहचानें।

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जब (n) even हो, तो \({}^{n}C_r\) का unique maximum किस (r) पर होता है? / When (n) is even, at which (r) does \({}^{n}C_r\) have a unique maximum?

Correct Answer: A. \(r=\frac{n}{2}\). Explanation: Even (n) में middle index single होता है। परीक्षा में symmetry और ratio से central term पहचानें। / For even (n), the middle index is single. In exams identify the central term by symmetry and ratio.

Which concept should I revise for this Mathematics MCQ?

For even (n), the middle index is single. In exams identify the central term by symmetry and ratio.

What exam hint can help solve this Mathematics question?

Even (n) में middle index single होता है। परीक्षा में symmetry और ratio से central term पहचानें।