st","extracted_subject":"MATH","extracted_chapter":"PERMUTATIONS AND COMBINATIONS","extracted_topic":"DEFINITON OF COMBINATIONS, CONDITION COMBINATIONS, DIVISION INTO GROUPS, DERANGEMENTS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2019.png?top_left_x=532&top_left_y=0&width=532&height=212&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e72425d76b7ab31f783","slug":"the-no-of-ve-integral-solution-of-equations-abcd-3","content":"The no. of +ve integral solution of equations abcd = 360 is","options":[{"_id":"68a3cea57f15af4716c3f288","text":"600","sequence":0,"isCorrect":false},{"_id":"68a3cea57f15af4716c3f289","text":"800","sequence":1,"isCorrect":true},{"_id":"68a3cea57f15af4716c3f28a","text":"700","sequence":2,"isCorrect":false},{"_id":"68a3cea57f15af4716c3f28b","text":"720","sequence":3,"isCorrect":false}],"correct_answer":"800","explanation":"abcd = 360 = 2³ x 3² x 5\n\nNo. of ways distributing 2 = ⁶C₃\n\nNo. of ways distributing 3 = ⁵C₃\n\nNo. of ways distributing 5 = ⁴C₃\n\nNo. of ways = ⁶C₃.⁵C₃.⁴C₃ = 800.","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:38.810Z","__v":0,"vector_store_id":"6cc40685-d80c-49ae-b858-0a7a32a46521","updated_at":"2024-08-30T21:49:38.810Z","isStarred":false},"params":{"questionSlug":"the-no-of-ve-integral-solution-of-equations-abcd-3"}}]}]]

Question: The no. of +ve integral solution of equations abcd = 360 is...

Solution