Pascals triangle gives a method for calculating the binomial coefficients; it begins as
Chapter 1, Problem 1.2-10(choose chapter or problem)
Pascals triangle gives a method for calculating the binomial coefficients; it begins as follows: 1 1 1 121 13 31 14 6 41 1 5 10 10 5 1 . . . . . . . . . . . . . . . The nth row of this triangle gives the coefficients for (a + b)n1. To find an entry in the table other than a 1 on the boundary, add the two nearest numbers in the row directly above. The equation n r = n 1 r + n 1 r 1 ,called Pascals equation, explains why Pascals triangle works. Prove that this equation is correct.
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