{"id":"aqua_rat:27544724590af6ba3282ccbf2d308250","source_id":"aqua_rat","source_item_id":"27544724590af6ba3282ccbf2d308250","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"A family of 2 parents and 2 children is waiting in line to order at a fast-food restaurant. Joey, the younger child, has a tendency to cause mischief when he is not watched carefully. Because of this, the father wants to keep Joey ahead of him in line at all times. How many different ways can the family arrange themselves in line, such that the father is able to watch Joey?","stimulus":"","stimulus_html":null,"stem_html":"<p>A family of 2 parents and 2 children is waiting in line to order at a fast-food restaurant. Joey, the younger child, has a tendency to cause mischief when he is not watched carefully. Because of this, the father wants to keep Joey ahead of him in line at all times. How many different ways can the family arrange themselves in line, such that the father is able to watch Joey?</p>","rationale_html":"<p>The total # of ways to arrange 4 people is 4!=24. In half of the cases the father will be behind Joey and in half of the cases Joey will be behind his father. So, the answer is 4!/2=12.</p><p>B.</p>","correct_answer":["B"],"equiv_key":"9b5cd1d5db3b73429ffca0a3","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>6</p>","ord":0},{"label":"B","content_html":"<p>12</p>","ord":1},{"label":"C","content_html":"<p>24</p>","ord":2},{"label":"D","content_html":"<p>36</p>","ord":3},{"label":"E","content_html":"<p>72</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}