{"id":"aqua_rat:c1bdb4af69a8b98f451d9dbe1dc75d0e","source_id":"aqua_rat","source_item_id":"c1bdb4af69a8b98f451d9dbe1dc75d0e","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":"There are ten lime soda bottles on a table in a restaurant. They are to be served among two different groups of customers consisting of 5 members each. How many ways are there to create these 2 groups?","stimulus":"","stimulus_html":null,"stem_html":"<p>There are ten lime soda bottles on a table in a restaurant. They are to be served among two different groups of customers consisting of 5 members each. How many ways are there to create these 2 groups?</p>","rationale_html":"<p>Number of ways to select 5 bottles out of 10= 10!/5!5!= 252</p><p>D is the answer</p>","correct_answer":["D"],"equiv_key":"e1512fd927016a89a827d97c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>90</p>","ord":0},{"label":"B","content_html":"<p>105</p>","ord":1},{"label":"C","content_html":"<p>126</p>","ord":2},{"label":"D","content_html":"<p>252</p>","ord":3},{"label":"E","content_html":"<p>525</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":[]}