A frog started from the origin of the coordinate plane and made $3$ jumps. Each time, the frog jumped a distance of $5$ units and landed on a point with integer coordinates. How many different position possibilities end of the frog there?
Source: Puerto Rico TST 2023.2.4
Tags: combinatorics
A frog started from the origin of the coordinate plane and made $3$ jumps. Each time, the frog jumped a distance of $5$ units and landed on a point with integer coordinates. How many different position possibilities end of the frog there?