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Prove that {_{{{r}={0}}}^{{n}}}{3}^{{r}}^{n}{C}_{{r}}={4}^{{n}
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Prove that \displaystyle{\sum_{{{r}={0}}}^{{n}}}{3}^{{r}}^{n}{C}_{{r}}={4}^{{n}}.

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Prove that \displaystyle{\sum_{{{r}={0}}}^{{n}}}{3}^{{r}}^{n}{C}_{{r}}={4}^{{n}}.
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Question Text
Prove that \displaystyle{\sum_{{{r}={0}}}^{{n}}}{3}^{{r}}^{n}{C}_{{r}}={4}^{{n}}.