\(20\times20\) Lattice Paths, No Need For A Computer Right?

Discrete Mathematics Level 3

Starting in the top left corner of a \(2\times2\) grid made out of single \(1\times1\) squares, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner.

How many such routes are there in a \(20\times20\) grid?

You may use a calculator for the final step of your calculation.

Hint: Pascal's triangle.


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