State which of the statement is True or False. \( \mathrm{P} \) The...

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State which of the statement is True or False.
\( \mathrm{P} \)
The sum of the series \( \sum_{r=0}^{10}{ }^{20} \mathrm{C}_{r} \) is \( 2^{19}+\frac{{ }^{20} \mathrm{C}_{10}}{2} \)
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