test","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_2006.png?top_left_x=0&top_left_y=578&width=532&height=270&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e72425d76b7ab31f530","slug":"in-an-election-there-are-8-candidates-out-of-which","content":"In an election there are 8 candidates, out of which 5 are to be chosen. If a voter may vote for any number of candidates but not greater than the number to chosen, then in how many ways can a voter vote","options":[{"_id":"68a3edcc7f15af4716c79ecd","text":"216","sequence":0,"isCorrect":false},{"_id":"68a3edcc7f15af4716c79ece","text":"114","sequence":1,"isCorrect":false},{"_id":"68a3edcc7f15af4716c79ecf","text":"218","sequence":2,"isCorrect":true},{"_id":"68a3edcc7f15af4716c79ed0","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"218","explanation":"Required number of ways = ⁸C₁ + ⁸C₂ + ⁸C₃ + ⁸C₄ + ⁸C₅\n\n= 8 + 28 + 56 + 70 + 56 = 218\n\n{Since voter may vote to one, two, three, four or all candidates}.","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:38.658Z","__v":0,"vector_store_id":"c7434e2e-fb73-4320-b177-c0ab5d9bdea0","updated_at":"2024-08-30T21:49:38.658Z","isStarred":false},"params":{"questionSlug":"in-an-election-there-are-8-candidates-out-of-which"}}]}]]

Question: In an election there are 8 candidates, out of which 5 are to be chosen. If a voter may vote for any ...

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