If the ratio \( { }^{2 n} C_{3}:{ }^{n} C_{3} \) is equal to \( 11:...

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If the ratio \( { }^{2 n} C_{3}:{ }^{n} C_{3} \) is equal to \( 11: 1 \), find \( n \).
\( \mathrm{P} \)
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