Prove that \( \mathrm{P} \) \[ { }^{10} \mathrm{C}_{2}+{ }^{11} \ma...

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Prove that
\( \mathrm{P} \)
\[
{ }^{10} \mathrm{C}_{2}+{ }^{11} \mathrm{C}_{2}+{ }^{12} \mathrm{C}_{2}+\ldots .+{ }^{19} \mathrm{C}_{2}=1020
\]
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