{"id":"aqua_rat:7ed756818fd428dd7d8f7fbd6c3612c1","source_id":"aqua_rat","source_item_id":"7ed756818fd428dd7d8f7fbd6c3612c1","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":"Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct?","stimulus":"","stimulus_html":null,"stem_html":"<p>Find the total no. of distinct bike no.&#x27;s that can beformed using 2 letters followed by 2 no.&#x27;s. How many letters need to be distinct?</p>","rationale_html":"<p>Out of 26 alphabets two distinct letters can be chosen in 26P2 ways. Coming to the numbers part, there are 10 ways to choose the first digit and similarly, there are another 10 ways to choose the second digit. Hence, there are in total 10X10 = 100 ways.</p><p>Combined with letters there are 6P2 X 100 ways = 65000 ways to choose vehicle numbers.</p><p>D</p>","correct_answer":["D"],"equiv_key":"41ac80857c4576307b8d47c3","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>74453</p>","ord":0},{"label":"B","content_html":"<p>64543</p>","ord":1},{"label":"C","content_html":"<p>74325</p>","ord":2},{"label":"D","content_html":"<p>65000</p>","ord":3},{"label":"E","content_html":"<p>97656</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":[]}