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Site Map for Current Domain >> Classrooms Self-study Materials Dynamic Geometry Expanded Sub-folders at Current Level Self-study Materials Algebra Courses Geometry Courses Trigonometry Courses Dynamic Geometry Recommended Articles	>> Classrooms >> Self-study Materials 【Full screen mode】 Pascal's Triangle Time:2008/4/10 10:28:30,Hit rate:0 How Pascal's Triangle is Constructed At the tip of Pascal's Triangle is the number 1, which makes up the zeroth row. The first row (1 & 1) contains two 1's, both formed by adding the two numbers above them to the left and the right, in this case 1 and 0 (all numbers outside the Triangle are 0's). Do the same to create the 2nd row: 0+1=1; 1+1=2; 1+0=1. And the third: 0+1=1; 1+2=3; 2+1=3; 1+0=1. In this way, the rows of the triangle go on infinitly. A number in the triangle can also be found by nCr (n Choose r) where n is the number of the row and r is the element in that row. For example, in row 3, 1 is the zeroth element, 3 is element number 1, the next three is the 2nd element, and the last 1 is the 3rd element. The formula for nCr is:    n! -------- r!(n-r)! ! means factorial, or the preceeding number multiplied by all the positive integers that are smaller than the number. 5! = 5 × 4 × 3 × 2 × 1 = 120. Search Engines (Local / Wholesite): Look for: in Classrooms by topicby content Look for: in the whole website.

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