2025 AMC 10B Problem 3

A Pascal-like triangle has 10 as the top row and 10 followed by 1 as the second row. In each subsequent row the first number is 10, the last number is 1, and, as in the standard Pascal’s Triangle, each other number in the row is the sum of the two numbers directly above it. The first four rows are shown below.

What is the sum of the digits of the sum of the numbers in the 11th row?

\textbf{(A)} 11 \qquad \textbf{(B)} 13 \qquad \textbf{(C)} 14 \qquad \textbf{(D)} 16 \qquad \textbf{(E)} 17

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.