{"id":6944,"date":"2021-10-22T01:54:41","date_gmt":"2021-10-21T20:24:41","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6944"},"modified":"2021-10-25T01:24:42","modified_gmt":"2021-10-24T19:54:42","slug":"how-many-ways-are-there-to-arrange-the-letters-in-the-word-garden-with-the-vowels-in-alphabetical-order","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/how-many-ways-are-there-to-arrange-the-letters-in-the-word-garden-with-the-vowels-in-alphabetical-order\/","title":{"rendered":"How many ways are there to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order ?"},"content":{"rendered":"

Solution :<\/h2>\n

Total number of ways in which all the letters can be arranged in alphabetical order = 6!<\/p>\n

There are two vowels (A, E) in the word ‘GARDEN’.<\/p>\n

Total number of ways in which these two vowels can be arranged = 2!<\/p>\n

\\(\\therefore\\) Total number of required ways = \\(6!\\over 2!\\) = 360<\/p>\n

\n

Similar Questions<\/h3>\n

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The number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together, is given by<\/a><\/p>\n

If the letters of the word \u2018SACHIN\u2019 are arranged in all possible ways and these words are written out as in dictionary, then the word \u2018SACHIN\u2019 appears at serial number<\/a><\/p>\n

At an election, a voter may vote for any number of candidates not greater than the number of candidates to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for atleast 1 candidate, then the number of ways in which he can vote is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Total number of ways in which all the letters can be arranged in alphabetical order = 6! There are two vowels (A, E) in the word ‘GARDEN’. Total number of ways in which these two vowels can be arranged = 2! \\(\\therefore\\) Total number of required ways = \\(6!\\over 2!\\) = 360 Similar …<\/p>\n

How many ways are there to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order ?<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,47],"tags":[],"yoast_head":"\nHow many ways are there to arrange the letters in the word 'GARDEN' with the vowels in alphabetical order ?<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/how-many-ways-are-there-to-arrange-the-letters-in-the-word-garden-with-the-vowels-in-alphabetical-order\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How many ways are there to arrange the letters in the word 'GARDEN' with the vowels in alphabetical order ?\" \/>\n<meta property=\"og:description\" content=\"Solution : Total number of ways in which all the letters can be arranged in alphabetical order = 6! There are two vowels (A, E) in the word ‘GARDEN’. Total number of ways in which these two vowels can be arranged = 2! (therefore) Total number of required ways = (6!over 2!) = 360 Similar … How many ways are there to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order ? 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