2023 Fermat Problem 6

Vivek is painting three doors. The doors are numbered 1, 2 and 3. Each door is to be painted one colour: either black or gold. One possibility is that door 1 is painted black, door 2 is painted gold, and door 3 is painted gold. In total, how many different ways can the three doors be painted?

\textbf{(A)}\ 8\quad \textbf{(B)}\ 7\quad \textbf{(C)}\ 5\quad \textbf{(D)}\ 4\quad \textbf{(E)}\ 3

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