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January 14th, 2019, 01:46 PM   #11
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Joined: Aug 2017
From: United Kingdom

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Math Focus: Number Theory, Algebraic Geometry
Quote:
 Originally Posted by Denis Start from T to N: how many ways? You should get 10. Now you're finished: answer is 20. Why? Because going from N to R requires the same steps.
You can't just add the number of ways of going from T to N to the number of ways to go from N to R. Consider the trivial version of this problem where the picture is just:

T - H - I - N - K - E - R

Here, there is 1 way to go from T to N, and 1 way to go from N to R. But that doesn't mean there are 1 + 1 = 2 ways to go from T to R.

(Also, for what it's worth, there are 2^3 = 8 ways to go from T to N.)

 January 14th, 2019, 02:51 PM #12 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Looks like you don't appreciate my THINKERing Thanks from cjem
 January 15th, 2019, 09:03 AM #13 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Code: T H I N K E R 21 42 61 1 32 52 7 22 43 62 I finally "see" the simplicity! 1 21 32 42 52 61 7 1 22 32 43 52 62 7 Thanks CJEM. Was trying to impress Miss ProofOfALifeTime

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