test","extracted_subject":"MATH","extracted_chapter":"PROBABILITY","extracted_topic":"USE OF PERMUTATIONS AND COMBINATIONS IN PROBABILITY","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2229.png?top_left_x=0&top_left_y=914&width=532&height=286&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e74425d76b7ab3212da","slug":"a-committee-of-5-is-to-be-chosen-from-a-group-of-9","content":"A committee of 5 is to be chosen from a group of 9 people. The probability that a certain married couple with either serve together or not at all is :","options":[{"_id":"68a3980f7f15af4716bae6d1","text":"\$\\frac { 2 } { 3 }\$","sequence":0,"isCorrect":false},{"_id":"68a3980f7f15af4716bae6d2","text":"\$\\frac { 4 } { 9 }\$","sequence":1,"isCorrect":true},{"_id":"68a3980f7f15af4716bae6d3","text":"\$\\frac { 1 } { 2 }\$","sequence":2,"isCorrect":false},{"_id":"68a3980f7f15af4716bae6d4","text":"None","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac { 4 } { 9 }$","explanation":"A₁, A₂, A₃, A₄, A₅, A₆, A₇, , H,W\n\nT.C. = ⁹C₅ = 126\n\nF.C. = HW ---or ----- (Excluded H,W)\n\n= ⁷C₃ + ⁷C₅ = 35 + 2l = 56 Ž p = 56/126 = 4/9","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:40.595Z","__v":0,"vector_store_id":"7490d043-9588-4758-b2f3-38a5cfa085ef","updated_at":"2024-08-30T21:49:40.595Z","isStarred":false},"params":{"questionSlug":"a-committee-of-5-is-to-be-chosen-from-a-group-of-9"}}]}]]

Question: A committee of 5 is to be chosen from a group of 9 people. The probability that a certain married co...

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