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UKMT Intermediate Mathematical Challenge, 2020

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

I start at square "1", and have to finish at square "7", moving at each step to a higher numbered adjacent square. How many possible routes are there?

(A) 77 (B) 99 (C) 1010 (D) 1111 (E) 1313

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