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Only need problem #9 1. Row 0 Row 1 Row 2 Row 3 1 The pyramid of numbers above i

ID: 3282378 • Letter: O

Question

Only need problem #9 1. Row 0 Row 1 Row 2 Row 3 1 The pyramid of numbers above is called Pascal's triangle. Starting with Row 2, each value within a row is the sum of the numbers from the previous row that are immediately to the left and to the right of the value in question. The outer numbers on each row are always equal to 1. Notice that the Row 3 values correspond with the number of different ways in which a pachinko ball can arrive at bins: A Au Aue and A In fact, Pascal's triangle is a method for determining the number of different paths a pachinko ball can take to arrive at a particular final destination.

Explanation / Answer

The four values in the third row of Pascal's triangle are: 1 3 3 1

Hence, the associated binomial co-efficients of them are 3C0=1, 3C1=3, 3C2=3, 3C3=1

Hence, the associated binomial co-efficients for the four values in the third row of Pascal's triangle are 3C0, 3C1, 3C2, 3C3 respectively