st","extracted_subject":"MATH","extracted_chapter":"PERMUTATIONS AND COMBINATIONS","extracted_topic":"DEFINITION OF PERMUTATION, NUMBER OF PERMUTATIONS WITH OR WITHOUT REPETITION","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2003.png?top_left_x=0&top_left_y=0&width=532&height=241&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e72425d76b7ab31f4f7","slug":"the-number-of-ways-in-which-5-boys-and-3-girls-be-","content":"The number of ways in which 5 boys and 3 girls be seated in a row so that each girl is between two boys, is","options":[{"_id":"68a3b1577f15af4716bf2b17","text":"2880","sequence":0,"isCorrect":true},{"_id":"68a3b1577f15af4716bf2b18","text":"1880","sequence":1,"isCorrect":false},{"_id":"68a3b1577f15af4716bf2b19","text":"3800","sequence":2,"isCorrect":false},{"_id":"68a3b1577f15af4716bf2b1a","text":"2800","sequence":3,"isCorrect":false}],"correct_answer":"2880","explanation":"Boys can be seated by\n\n= \\(\\begin{matrix}\n5\n\\end{matrix}\\) ways. B₁ × B₂ × B₃ × B₄ × B₅\n\narrangement of girls in gap between boys = ⁴P₃\n\nso total ways = \\(\\begin{matrix}\n5\n\\end{matrix}\\) × ⁴P₃ = 2880","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:38.653Z","__v":0,"vector_store_id":"1254e754-b9a7-4712-aa6e-07ece3f510af","updated_at":"2024-08-30T21:49:38.653Z","isStarred":false},"params":{"questionSlug":"the-number-of-ways-in-which-5-boys-and-3-girls-be-"}}]}]]

Question: The number of ways in which 5 boys and 3 girls be seated in a row so that each girl is between two b...

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