{"id":"aqua_rat:581b86119585f368ba94aded9c3cff35","source_id":"aqua_rat","source_item_id":"581b86119585f368ba94aded9c3cff35","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":"At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)","stimulus":"","stimulus_html":null,"stem_html":"<p>At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team&#x27;s findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)</p>","rationale_html":"<p>No of ways = All ways to choose - ways using just men - ways using just women = C(8,4)-C(4,4)-C(4,4) = 21 - 1 - 1 = 19</p><p>Answer is (B)</p>","correct_answer":["B"],"equiv_key":"ded93a613862489237e7901b","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>120</p>","ord":0},{"label":"B","content_html":"<p>19</p>","ord":1},{"label":"C","content_html":"<p>180</p>","ord":2},{"label":"D","content_html":"<p>420</p>","ord":3},{"label":"E","content_html":"<p>460</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":[]}