MathDB
Math Prize 2019 Problem 10

Source:

October 15, 2019
Math Prize for Girls

Problem Statement

A 1×51 \times 5 rectangle is split into five unit squares (cells) numbered 1 through 5 from left to right. A frog starts at cell 1. Every second it jumps from its current cell to one of the adjacent cells. The frog makes exactly 14 jumps. How many paths can the frog take to finish at cell 5?