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problem 15 · 6 lines

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<p>Starting in the top left corner of a $2 \times 2$ grid, and only being able to move to the right and down, there are exactly $6$ routes to the bottom right corner.</p>
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<img alt="" class="dark_img" src="resources/0015.png"/></div>
<p>How many such routes are there through a $20 \times 20$ grid?</p>
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