{"id":"aqua_rat:7959e621a08c6c1bf0b9fa810019bfc9","source_id":"aqua_rat","source_item_id":"7959e621a08c6c1bf0b9fa810019bfc9","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 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?","stimulus":"","stimulus_html":null,"stem_html":"<p>There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?</p>","rationale_html":"<p>Here we have to perform 6 jobs of answering 6 multiple choice questions. Each of the first three questions can be answered in 4 ways and each one of the next three can be answered in 5 different ways. So, the total number of different sequences = 4 × 4 × 4 × 5 × 5 × 5 = 8000</p><p>ANSWER D 8000</p>","correct_answer":["D"],"equiv_key":"216fb8c9c9f9217bb609fc92","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>5000</p>","ord":0},{"label":"B","content_html":"<p>6000</p>","ord":1},{"label":"C","content_html":"<p>7000</p>","ord":2},{"label":"D","content_html":"<p>8000</p>","ord":3},{"label":"E","content_html":"<p>9000</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":[]}