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IMAS 2018 Junior Round 1 Question 20

IMAS · IMAS 2018 Junior Round 1

Question 20

Using the digits 1, 2, 3, 4, 5, 6, 7 and 8 only once, create a sequence such that there is one number between 1 and 2, two numbers between 2 and 4, three numbers between 3 and 6 and four numbers between 4 and 8. How many different ways can we do this?
  1. 12
  2. 24
  3. 36
  4. 48
  5. 60