File:Pascal's triangle pathways.svg

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Summary

The Pascal's triangle overlaid on a grid, with the number on each square representing the number of possible pathways to take from (0, 0), assuming only down and right moves are allowed. To get to (3, 3), 20 pathways are possible, corresponding to <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa9b2128a7b636c10fa47d34f95c41b5e1ed7650" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:3.812ex; height:2.509ex;" alt="{\displaystyle _{6}\mathrm {C} _{3}}">.

Licensing

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File history

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Date/TimeThumbnailDimensionsUserComment
current09:40, 8 January 2017Thumbnail for version as of 09:40, 8 January 20171,010 × 1,010 (22 KB)127.0.0.1 (talk)<p>The Pascal's triangle overlaid on a grid, with the number on each square representing the number of possible pathways to take from (0, 0), assuming only down and right moves are allowed. To get to (3, 3), 20 pathways are possible, corresponding to <span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi></mi><mrow class="MJX-TeXAtom-ORD"><mn>6</mn></mrow></msub><msub><mrow class="MJX-TeXAtom-ORD"><mi mathvariant="normal">C</mi></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle _{6}\mathrm {C} _{3}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa9b2128a7b636c10fa47d34f95c41b5e1ed7650" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:3.812ex; height:2.509ex;" alt="{\displaystyle _{6}\mathrm {C} _{3}}"></span>. </p>
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