MathDB

Katie has a chocolate bar that is a

5

-by-

5

grid of square pieces, but she only wants to eat the center piece. To get to it, she performs the following operations: i. Take a gridline on the chocolate bar, and split the bar along the line. ii. Remove the piece that doesn’t contain the center. iii. With the remaining bar, repeat steps

1

and

2

. Determine the number of ways that Katie can perform this sequence of operations so that eventually she ends up with just the center piece.

Problem Statement