If \( { }^{n} \mathrm{C}_{10}={ }^{n} \mathrm{C}_{12} \), find \( n \) and hence find \( { }^{n}...

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If \( { }^{n} \mathrm{C}_{10}={ }^{n} \mathrm{C}_{12} \), find \( n \) and hence find \( { }^{n} \mathrm{C}_{5} \).
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