{"id":"aqua_rat:0518b2797996530c4b40e85b809a186b","source_id":"aqua_rat","source_item_id":"0518b2797996530c4b40e85b809a186b","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":"John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?","stimulus":"","stimulus_html":null,"stem_html":"<p>John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?</p>","rationale_html":"<p>There should be a vowel in the middle of the 3-letter code, which means that 5 letters can be in the middle. Then, 20 letters can be placed in the first letter and 19 letters can be placed in the last letter as they should be different letters. Thus, 20*5*19=1,900.</p><p>Therefore, the answer is E.</p>","correct_answer":["E"],"equiv_key":"a2b96e7c990e7c43f20a71eb","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1,980</p>","ord":0},{"label":"B","content_html":"<p>2,020</p>","ord":1},{"label":"C","content_html":"<p>2,100</p>","ord":2},{"label":"D","content_html":"<p>2,200</p>","ord":3},{"label":"E","content_html":"<p>1,900</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":[]}