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If (^{2n}C_{3}=2,^{n}C_{3}+n^{2}(n-1)), for which condition is the statement true?यदि (^{2n}C_{3}=2,^{n}C_{3}+n^{2}(n-1)) है, तो कथन किसके लिए सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: all (n\geq 3)सभी (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.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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