In how many ways can 5 different candies be distributed among 4 children? (Children could get 0 candies or more than one candy)
","rationale_html":"There are in total 5 candies. Let's say A,B,C,D and E.
Candy A can be distributed among any 4 children. So, there are 4 ways of distributing candy A.
similarly candy B,C,D and E can be distributed in 4 ways.
So total ways of distribution is
4*4*4*4*4 = 4^5.
ANS:A
","correct_answer":["A"],"equiv_key":"43d221e5e85520a359b2c21c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"4^5
","ord":0},{"label":"B","content_html":"5^4
","ord":1},{"label":"C","content_html":"5!
","ord":2},{"label":"D","content_html":"4!
","ord":3},{"label":"E","content_html":"4!*5!
","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":[]}