TxO Math Bowl 2024 - Guts Contest - Set 3 Problem 2

A frog is sitting on the first of 9 lily pads in a straight line. The frog is able to make jumps (only forward) of lengths 1, 2, or 3. In how many different ways can the frog jump from the first pad to the last, given that the order does not matter? (i.e. a jump sequence of 3, 2, 3 is the exact same as a jump sequence of 2, 3, 3).