Fermat 2023 Part A - Question 6, CEMC UWaterloo
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Difficulty: 5
This problem is tagged with fermat, fermat23, highschool.
(Fermat 2023, Part A, Question 6, CEMC - UWaterloo)
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?
$(A)$ $8$
$(B)$ $7$
$(C)$ $5$
$(D)$ $4$
$(E)$ $3$
Answer Submission Note(s)
Your answer should be a single capital letter, e.g. 'A'.
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