Prove that \( { }^{n} \mathrm{C}_{r}+2^{n} \mathrm{C}_{r-1}+{ }^{n}...

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Prove that \( { }^{n} \mathrm{C}_{r}+2^{n} \mathrm{C}_{r-1}+{ }^{n} \mathrm{C}_{r-2}={ }^{n+2}{ }^{2} \mathrm{C}_{r} \)
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