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IMAS 2015/2016 Junior Round 2 Question 5

IMAS · IMAS 2015/2016 Junior Round 2

Question 5

The diagram shows a 6 by 6 board with three barriers. An ant is at the top left corner and wishes to reach the bottom right corner. It may only crawl between squares which share a common side, and only towards the bottom or the right. It cannot pass through any barrier. How many different paths can it follow?

Question illustration
  1. 88
  2. 90
  3. 92
  4. 96
  5. 112