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