{"id":"aqua_rat:b0f7b5788a9724cbe0328a7f78451763","source_id":"aqua_rat","source_item_id":"b0f7b5788a9724cbe0328a7f78451763","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":"3 men and 3 women need to be seated in 2 rows with 3 chairs in each row. All men have to be seated in the back row. How many ways can this be done?","stimulus":"","stimulus_html":null,"stem_html":"<p>3 men and 3 women need to be seated in 2 rows with 3 chairs in each row. All men have to be seated in the back row. How many ways can this be done?</p>","rationale_html":"<p>For one particular arrangement of men, say m1, m2, m3 women in the front row can be arranged in 3!=6 ways, as total # of arrangements of men is 3!=6 then total # of arrangements of men and women is 3!*3!=36.</p><p>ANS:D</p>","correct_answer":["D"],"equiv_key":"187fe1bfc09cf6944489de47","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":[]}