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_2018.png?top_left_x=532&top_left_y=282&width=532&height=270&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e72425d76b7ab31f772","slug":"in-shooting-competition-at-beijing-a-man-could-sco","content":"In shooting competition at Beijing a man could score 5, 4, 3, 2, 1 or 0 points for each shot. Then the no. of ways in which he could score 10 points in seven shots, is","options":[{"_id":"68a3d6a67f15af4716c595ae","text":"6538","sequence":0,"isCorrect":true},{"_id":"68a3d6a67f15af4716c595af","text":"6548","sequence":1,"isCorrect":false},{"_id":"68a3d6a67f15af4716c595b0","text":"6608","sequence":2,"isCorrect":false},{"_id":"68a3d6a67f15af4716c595b1","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"6538","explanation":"Coefficient of x¹⁰ in (x⁰ + x¹……..x⁵)⁷\n\n= Coefficient of x¹⁰ in (1 – x⁶)⁷ (1 – x)^–7\n\n= Coefficient of x¹⁰ in (1 –7x⁶) (1 –x)^–7\n\n(Neglecting higher powers) = 6538","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:38.809Z","__v":0,"vector_store_id":"af0232bc-dd40-410f-a466-89d73a47df49","updated_at":"2024-08-30T21:49:38.809Z","isStarred":false},"params":{"questionSlug":"in-shooting-competition-at-beijing-a-man-could-sco"}}]}]]

Question: In shooting competition at Beijing a man could score 5, 4, 3, 2, 1 or 0 points for each shot. Then t...

Solution