यदि \(^{n}C_{r}=^{n}C_{r+1}\) है, तो (n) और (r) के बीच संबंध क्या है?

If \(^{n}C_{r}=^{n}C_{r+1}\), what is the relation between (n) and (r)?

Explanation opens after your attempt
Correct Answer

B. (n=2r+1)

Step 1

Concept

For equality, complementary indices add to (n). Thus (r+(r+1)=n), so (n=2r+1).

Step 2

Why this answer is correct

The correct answer is B. (n=2r+1). For equality, complementary indices add to (n). Thus (r+(r+1)=n), so (n=2r+1).

Step 3

Exam Tip

समानता में पूरक सूचकांक का योग (n) है। इसलिए (r+(r+1)=n), अतः (n=2r+1)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(^{n}C_{r}=^{n}C_{r+1}\) है, तो (n) और (r) के बीच संबंध क्या है? / If \(^{n}C_{r}=^{n}C_{r+1}\), what is the relation between (n) and (r)?

Correct Answer: B. (n=2r+1). Explanation: समानता में पूरक सूचकांक का योग (n) है। इसलिए (r+(r+1)=n), अतः (n=2r+1)। / For equality, complementary indices add to (n). Thus (r+(r+1)=n), so (n=2r+1).

Which concept should I revise for this Mathematics MCQ?

For equality, complementary indices add to (n). Thus (r+(r+1)=n), so (n=2r+1).

What exam hint can help solve this Mathematics question?

समानता में पूरक सूचकांक का योग (n) है। इसलिए (r+(r+1)=n), अतः (n=2r+1)।