यदि (^{2n}C_{3}=2,^{n}C_{3}+n^{2}(n-1)) है, तो कथन किसके लिए सही है?
If (^{2n}C_{3}=2,^{n}C_{3}+n^{2}(n-1)), for which condition is the statement true?
Explanation opens after your attempt
A. सभी \(n\geq 3\)all \(n\geq 3\)
Concept
While choosing (3) from two groups of size (n), either all (3) come from one group or the split is (2,1). This proves the identity.
Why this answer is correct
The correct answer is A. सभी \(n\geq 3\) / all \(n\geq 3\). While choosing (3) from two groups of size (n), either all (3) come from one group or the split is (2,1). This proves the identity.
Exam Tip
दो (n) आकार के समूहों से (3) चुनने में सभी (3) एक समूह से या (2,1) विभाजन से आते हैं। यही पहचान है।
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