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Mathematics · JEE | PERMUTATIONS AND COMBINATIONS
हिन्दीDetermine \( n \) if \( {^{2n}\text{C}_3} : {^n\text{C}_3} = 12 : 1 \).
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Correct answer · Option C
5
Explanation
Expanding the ratio yields \( \frac{(2n)(2n-1)(2n-2)}{n(n-1)(n-2)} = 12 \implies \frac{2(2n-1)}{n-2} = 12 \implies n = 5 \).
