{"status": "success", "data": {"description_md": "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 $2$, $3$, $3$).", "description_html": "<p>A frog is sitting on the first of <span class=\"katex--inline\">9</span> lily pads in a straight line. The frog is able to make jumps (only forward) of lengths <span class=\"katex--inline\">1</span>, <span class=\"katex--inline\">2</span>, or <span class=\"katex--inline\">3</span>. 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 <span class=\"katex--inline\">3</span>, <span class=\"katex--inline\">2</span>, <span class=\"katex--inline\">3</span> is the exact same as a jump sequence of <span class=\"katex--inline\">2</span>, <span class=\"katex--inline\">3</span>, <span class=\"katex--inline\">3</span>).</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 3 Problem 2", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}