Question: Pascals triangle gives a method for calculating the binomial coefficients; it begins as follows: The nth row of this triangle gives the coefficients for (a

Pascal€™s triangle gives a method for calculating the binomial coefficients; it begins as follows:

The nth row of this triangle gives the coefficients for (a + b)nˆ’1. 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

Called Pascal€™s equation, explains why Pascal€™s triangle works. Prove that this equation is correct.

1 5 10 10 5 1

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