Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Hard Level 65

\({}^{n}C_r=\frac{n}{r}{}^{n-1}C_{r-1}\) की counting व्याख्या क्या है?

What is the counting interpretation of \({}^{n}C_r=\frac{n}{r}{}^{n-1}C_{r-1}\)?

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Correct Answer

A. पहले एक marked member चुनें और फिर बाकी (r-1) चुनेंFirst choose one marked member and then choose remaining (r-1)

Step 1

Concept

Choose the marked member in (n) ways and remove overcount of (r) possible marks. In exams understand such identities by member marking.

Step 2

Why this answer is correct

The correct answer is A. पहले एक marked member चुनें और फिर बाकी (r-1) चुनें / First choose one marked member and then choose remaining (r-1). Choose the marked member in (n) ways and remove overcount of (r) possible marks. In exams understand such identities by member marking.

Step 3

Exam Tip

Marked member को (n) ways में चुनकर (r) possible marks के overcount को हटाते हैं। परीक्षा में member marking से ऐसी identities समझें।

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\({}^{n}C_r=\frac{n}{r}{}^{n-1}C_{r-1}\) की counting व्याख्या क्या है? / What is the counting interpretation of \({}^{n}C_r=\frac{n}{r}{}^{n-1}C_{r-1}\)?

Correct Answer: A. पहले एक marked member चुनें और फिर बाकी (r-1) चुनें / First choose one marked member and then choose remaining (r-1). Explanation: Marked member को (n) ways में चुनकर (r) possible marks के overcount को हटाते हैं। परीक्षा में member marking से ऐसी identities समझें। / Choose the marked member in (n) ways and remove overcount of (r) possible marks. In exams understand such identities by member marking.

Which concept should I revise for this Mathematics MCQ?

Choose the marked member in (n) ways and remove overcount of (r) possible marks. In exams understand such identities by member marking.

What exam hint can help solve this Mathematics question?

Marked member को (n) ways में चुनकर (r) possible marks के overcount को हटाते हैं। परीक्षा में member marking से ऐसी identities समझें।