यदि खास वस्तु \(^{n}C_r\) के selection में शामिल न हो तो count क्या होगी?

If the special object is not included in the selection for \(^{n}C_r\) what is the count?

Explanation opens after your attempt
Correct Answer

A. \(^{n-1}C_r\)

Step 1

Concept

After removing the special object all (r) objects are chosen from (n-1). In exams the lower index remains the same in the excluded case.

Step 2

Why this answer is correct

The correct answer is A. \(^{n-1}C_r\). After removing the special object all (r) objects are chosen from (n-1). In exams the lower index remains the same in the excluded case.

Step 3

Exam Tip

खास वस्तु हटाने के बाद (n-1) वस्तुओं में से पूरे (r) चुनने हैं। परीक्षा में excluded case में lower index वही रहता है।

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Mathematics Answer, Explanation and Revision Hints

यदि खास वस्तु \(^{n}C_r\) के selection में शामिल न हो तो count क्या होगी? / If the special object is not included in the selection for \(^{n}C_r\) what is the count?

Correct Answer: A. \(^{n-1}C_r\). Explanation: खास वस्तु हटाने के बाद (n-1) वस्तुओं में से पूरे (r) चुनने हैं। परीक्षा में excluded case में lower index वही रहता है। / After removing the special object all (r) objects are chosen from (n-1). In exams the lower index remains the same in the excluded case.

Which concept should I revise for this Mathematics MCQ?

After removing the special object all (r) objects are chosen from (n-1). In exams the lower index remains the same in the excluded case.

What exam hint can help solve this Mathematics question?

खास वस्तु हटाने के बाद (n-1) वस्तुओं में से पूरे (r) चुनने हैं। परीक्षा में excluded case में lower index वही रहता है।