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If ( \binom{n}{4}=\binom{n}{2} ) and ( n\ge 4 ), what is the value of ( n )?यदि ( \binom{n}{4}=\binom{n}{2} ) और ( n\ge 4 ) है, तो ( n ) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (6)(6)
By symmetry, (4=n-2), so (n=6). In exams, when ( \binom{n}{r}=\binom{n}{s} ), check (r=s) or (r+s=n).सममिति से (4= n-2), इसलिए (n=6) है। परीक्षा में ( \binom{n}{r}=\binom{n}{s} ) हो तो (r=s) या (r+s=n) जाँचें।
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