यदि (n) अलग वस्तुओं में से कोई एक वस्तु खास मानकर चुनी जाए तो \(^{n}C_r\) की included case count क्या होगी?
If one object is treated as special among (n) distinct objects what is the included case count for \(^{n}C_r\)?
Explanation opens after your attempt
Correct Answer
B. \(^{n-1}C_{r-1}\)
Concept
If the special object is selected the remaining (r-1) objects are chosen from (n-1). In exams the lower index decreases by (1) in the included case.
Why this answer is correct
The correct answer is B. \(^{n-1}C_{r-1}\). If the special object is selected the remaining (r-1) objects are chosen from (n-1). In exams the lower index decreases by (1) in the included case.
Exam Tip
खास वस्तु चुन ली गई तो बाकी (r-1) वस्तुएँ (n-1) में से चुननी हैं। परीक्षा में included case में lower index (1) घटता है।
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