Solution to Puzzle #12: How many routes?

I got only two correct answers for this puzzle – one of which is from Tishyaa Chaudhry, who is one of the most amazing puzzlers amongst kids I have come across. Well done Tishyaa.

There are two good solutions to the puzzle, one of which requires the knowledge of Combinatorics. I have outlined both the solutions in the link here:

Hope you enjoyed this one.

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