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{"id":1928,"date":"2021-08-17T20:04:36","date_gmt":"2021-08-17T20:04:36","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=1928"},"modified":"2021-09-06T09:54:59","modified_gmt":"2021-09-06T09:54:59","slug":"out-of-7-consonants-and-4-vowels-how-many-words-of-3-consonants-and-2-vowels-can-be-formed","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/permutation-and-combination\/out-of-7-consonants-and-4-vowels-how-many-words-of-3-consonants-and-2-vowels-can-be-formed\/","title":{"rendered":"Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?"},"content":{"rendered":"<div class=\"TextHeading\">\n<div class=\"hddn\">\n<p class=\"color-pink\">Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?<\/p>\n<div class=\"row\">\n<div class=\"col-sm-4\">\n<p>A. 210<\/p>\n<\/div>\n<div class=\"col-sm-4\">\n<p>B. 1050<\/p>\n<\/div>\n<div class=\"col-sm-4\">\n<p>C. 25200<\/p>\n<\/div>\n<div class=\"col-sm-4\">\n<p>D. 21400<\/p>\n<\/div>\n<div class=\"col-sm-4\">\n<p>E. None of these<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 id=\"answer-c-25200\"><b>Answer :\u00a0<\/b>C. 25200<\/h3>\n<div class=\"subheading\">\n<h2 id=\"explanation\">Explanation:<\/h2>\n<\/div>\n<div class=\"Content\">\n<div class=\"hddn\">\n<p>Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C<sub>3<\/sub>\u00a0x 4C<sub>2<\/sub>)<br \/>\n= { (7 x 6 x 5) \/ (3 x 2 x 1) } x { (4 x 3) \/ (2 x 1) } = 210.<br \/>\nNumber of groups, each having 3 consonants and 2 vowels = 210.<\/p>\n<p>Each group contains 5 letters.<br \/>\nNumber of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120.<\/p>\n<p>Required number of ways = (210 x 120) = 25200.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer :\u00a0C. 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