WMC 2018 Senior Problem 22

Probability Level 2

In a maze you must get from A to B by travelling along 8 8 segments. How many different paths can be found?

56 52 55 53 54

Tiger Ang by Tiger Ang , 20, Malaysia

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1 solution

X X
Oct 14, 2018

We have two ways to choose: three ↓ \downarrow s and five → \rightarrow s

So there are 8 ! 3 ! 5 ! = 56 \dfrac{8!}{3!5!}=56 different paths.

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