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Pascals Triangle Blas Pacal was born in France in 1623 He was a child prodigy and was fascinated by mathematics When Pascal was 19 he invented the first calculating machine that actually worked Many other people had tried to do the same but did not succeed One of the topics that deeply interested him was the likelihood of an event happening probability This interest came to Pascal from a gambler who asked him to help him make a better guess so he could make an educated guess In the coarse of his investigations he produced a triangular pattern that is named after him The pattern was known at least three hundred years before Pascal had discover it The Chinese were the first to discover it but it was fully developed by Pascal Ladja 2 Pascals triangle is a triangluar arrangement of rows Each row except the first row begins and ends with the number 1 written diagonally The first row only has one number which is 1 Beginning with the second row each number is the sum of the number written just above it to the right and the left The numbers are placed midway between the numbers of the row directly above it If you flip 1 coin the possibilities are 1 heads H or 1 tails T This combination of 1 and 1 is the firs row of Pascals Triangle If you flip the coin twice you will get a few different results as I will show below Ladja 3 Lets say you have the polynomial x1 and you want to raise it to some powers like 12345 If you make a chart of what you get when you do these power-raisins youll get something like this Dr Math 3 x10 1 x11 1 x x12 1 2x x2 x13 1 3x 3x2 x3 x14 1 4x 6x2
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