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The pattern of Pascal's triangle is illustrated in the diagram shown. What is the fourth element in Row 15 of Pascal's triangle?

                                                                                                        \(\begin{array}{ccccccccccccc} \textrm{Row 0}: & \qquad & & & & & 1 & & & & & & \\ \textrm{Row 1}: & \qquad & & & & 1 & & 1 & & & & &\\ \textrm{Row 2}: & \qquad & & & 1 & & 2 & & 1 & & & &\\ \textrm{Row 3}: & \qquad & & 1 && 3 && 3 && 1&& \\ \textrm{Row 4}: & \qquad & 1&& 4 && 6 && 4 && 1 \end{array} \)

 Mar 28, 2020
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The pattern is: 15C0,  15C1,  15C2,  15C3..........and so on.

 

The 4th element is: 15C(4 - 1) =15C3 = 455.

 Mar 28, 2020
edited by Guest  Mar 28, 2020

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