{"id":"aqua_rat:738a37f82c4ec087f567a3bb510a873b","source_id":"aqua_rat","source_item_id":"738a37f82c4ec087f567a3bb510a873b","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":"Fernando purchased a university meal plan that allows him to have a total of 3 lunches and 3 dinners per week. If the cafeteria is closed on weekends and Fernando always goes home for a dinner on Friday nights, how many options does he have to allocate his meals?","stimulus":"","stimulus_html":null,"stem_html":"<p>Fernando purchased a university meal plan that allows him to have a total of 3 lunches and 3 dinners per week. If the cafeteria is closed on weekends and Fernando always goes home for a dinner on Friday nights, how many options does he have to allocate his meals?</p>","rationale_html":"<p>He can allocate his 3 free lunches on any 3 days from 5 (excluding weekends), so in 5C3 ways.</p><p>He can allocate his 3 free dinners on any 3 days from 4 (excluding weekends and Friday), so in 4C3 ways.</p><p>Total = 5C3*4C3 ways</p><p>ANS:A</p>","correct_answer":["A"],"equiv_key":"5f375c9d94a7c76218145a81","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>5C3*4C3</p>","ord":0},{"label":"B","content_html":"<p>5C4*4C2</p>","ord":1},{"label":"C","content_html":"<p>5C2*4C4</p>","ord":2},{"label":"D","content_html":"<p>5C6*4C5</p>","ord":3},{"label":"E","content_html":"<p>4C3*4C3</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":[]}