{"id":"aqua_rat:65e011752172072dff86d49967260af5","source_id":"aqua_rat","source_item_id":"65e011752172072dff86d49967260af5","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":"Company X receives 16 applications for a job, 6 of which are from present employees of the company. If 3 of the applicants are to be hired, including exactly one of the applicants who is not a present employee of the company, how many distinct groups of applicants can be selected?","stimulus":"","stimulus_html":null,"stem_html":"<p>Company X receives 16 applications for a job, 6 of which are from present employees of the company. If 3 of the applicants are to be hired, including exactly one of the applicants who is not a present employee of the company, how many distinct groups of applicants can be selected?</p>","rationale_html":"<p>Out of the 16 applications, 6 are from present employees and 10 are from outside applicants.</p><p>From the 6 present employees, 2 need to be selected.</p><p>From the 10 outside applicants, 1 needs to be selected.</p><p>So you can make a group of three in 6C2 * 10C1 = 150 ways</p><p>Answer (D)</p>","correct_answer":["D"],"equiv_key":"5faebf588ddb2328ae6207e5","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>560</p>","ord":0},{"label":"B","content_html":"<p>270</p>","ord":1},{"label":"C","content_html":"<p>224</p>","ord":2},{"label":"D","content_html":"<p>150</p>","ord":3},{"label":"E","content_html":"<p>60</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":[]}