सूत्र (^{n}C_r=\frac{n!}{r!(n-r)!}) की व्युत्पत्ति में (r!) से भाग क्यों दिया जाता है?
Why do we divide by (r!) while deriving (^{n}C_r=\frac{n!}{r!(n-r)!})?
Explanation opens after your attempt
Correct Answer
A. क्योंकि (r) वस्तुओं की व्यवस्था नहीं गिनी जातीBecause arrangements of (r) objects are not counted
Concept
In combinations order is not important so (r!) duplicate arrangements are removed. In exams divide when order is ignored.
Why this answer is correct
The correct answer is A. क्योंकि (r) वस्तुओं की व्यवस्था नहीं गिनी जाती / Because arrangements of (r) objects are not counted. In combinations order is not important so (r!) duplicate arrangements are removed. In exams divide when order is ignored.
Exam Tip
Combination में क्रम का महत्व नहीं होता इसलिए (r!) duplicate arrangements हटाए जाते हैं। परीक्षा में order ignored हो तो division याद रखें।
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