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In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.
Jia Xian triangle (Pascal's triangle) using rod numerals, as depicted in a publication of Zhu Shijie in 1303 AD. Yang Hui referred to Jia Xian's Shi Suo Suan Shu in the Yongle Encyclopedia Jia Xian ( simplified Chinese : 贾宪 ; traditional Chinese : 賈憲 ; pinyin : Jiǎ Xiàn ; Wade–Giles : Chia Hsien ; ca. 1010–1070) was a Chinese ...
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A software license is a legal instrument that governs the usage and distribution of computer software. [1] Often, such licenses are enforced by implementing in the software a product activation or digital rights management (DRM) mechanism, [2] seeking to prevent unauthorized use of the software by issuing a code sequence that must be entered into the application when prompted or stored in its ...
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
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 6 C 3 {\displaystyle _{6}\mathrm {C} _{3}} .