Fermat 2023 Part A - Question 6, CEMC UWaterloo

All Submissions
Best Submissions

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'.

Please login or sign up to submit and check if your answer is correct.

flag Report Content
You should report content if:
  • It may be offensive.
  • There is something wrong with it (statement or difficulty value)
  • It isn't original.
Thanks for keeping the Math Contest Repository a clean and safe environment!