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Australian AMC 2022 - Junior Question 16

AMC AUSTRALIA · Australian AMC 2022 - Junior

Question 16

Standard dice have 1 and 6 opposite, 2 and 5 opposite and 3 and 4 opposite. I can position any dice to be able to see 1, 2 or 3 sides. What is the smallest number of dice I can arrange to see exactly 100 dots at once?

Question illustration
  1. 5
  2. 6
  3. 7
  4. 10
  5. 17