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PASCAL'S TRIANGLE

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Pascal's triangle ( An extraordinary logical structure ) Pascal's triangle is one of the most interesting structure in mathematics, named after the French mathematician, inventor, physicist Blaise Pascal ( 1623 - 1662 ). The structure looks like a triangle with 1 at the top vertex and running down the two slanting sides. This array of numbers is known as Pascal's triangle. Also known as Meru Prastara, Tartaglia's triangle ( after Nicolo Tartaglia ). Many other mathematicians studied the Pascal's triangle centuries before him in China, India, Germany, Italy and Persia. Features of Pascal's triangle Expansion for the higher powers of binomial are possible by using Pascal's triangle. Example: The row for the index 5 in binomial expansion is 1   5   10   10   5   1 The sum of the numbers in each row is the power of 2. The numbers in each row is the power of eleven. Example: The first row is 11 to the power 0, 2nd row the number