{"id":6765,"date":"2021-10-21T14:03:25","date_gmt":"2021-10-21T08:33:25","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6765"},"modified":"2021-10-25T01:33:22","modified_gmt":"2021-10-24T20:03:22","slug":"if-all-the-letters-of-the-word-rapid-are-arranged-in-all-possible-manner-as-they-are-in-a-dictionary-then-find-the-rank-of-the-word-rapid","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-all-the-letters-of-the-word-rapid-are-arranged-in-all-possible-manner-as-they-are-in-a-dictionary-then-find-the-rank-of-the-word-rapid\/","title":{"rendered":"If all the letters of the word ‘RAPID’ are arranged in all possible manner as they are in a dictionary, then find the rank of the word ‘RAPID’."},"content":{"rendered":"

Solution :<\/h2>\n

First of all, arrange all letters of given word alphabetically : ‘ADIPR’<\/p>\n

Total number of words starting with A _ _ _ _ = 4! = 24<\/p>\n

Total number of words starting with D _ _ _ _ = 4! = 24<\/p>\n

Total number of words starting with I _ _ _ _ = 4! = 24<\/p>\n

Total number of words starting with P _ _ _ _ = 4! = 24<\/p>\n

Total number of words starting with R A D _ _ = 2! = 2<\/p>\n

Total number of words starting with R A I _ _ = 2! = 2<\/p>\n

Total number of words starting with R A P D _ = 1 = 1<\/p>\n

Total number of words starting with R A P I _ = 1 = 1<\/p>\n

Therefore, Rank of the word RAPID = 24 + 24 + 24 + 24 + 2 + 2 + 1 + 1 = 102<\/p>\n

\n

Similar Questions<\/h3>\n

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Solution : First of all, arrange all letters of given word alphabetically : ‘ADIPR’ Total number of words starting with A _ _ _ _ = 4! = 24 Total number of words starting with D _ _ _ _ = 4! = 24 Total number of words starting with I _ _ _ _ …<\/p>\n

If all the letters of the word ‘RAPID’ are arranged in all possible manner as they are in a dictionary, then find the rank of the word ‘RAPID’.<\/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":"\nIf all the letters of the word 'RAPID' are arranged in all possible manner as they are in a dictionary, then find the rank of the word 'RAPID'.<\/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\/if-all-the-letters-of-the-word-rapid-are-arranged-in-all-possible-manner-as-they-are-in-a-dictionary-then-find-the-rank-of-the-word-rapid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If all the letters of the word 'RAPID' are arranged in all possible manner as they are in a dictionary, then find the rank of the word 'RAPID'.\" \/>\n<meta property=\"og:description\" content=\"Solution : First of all, arrange all letters of given word alphabetically : ‘ADIPR’ Total number of words starting with A _ _ _ _ = 4! = 24 Total number of words starting with D _ _ _ _ = 4! = 24 Total number of words starting with I _ _ _ _ … If all the letters of the word ‘RAPID’ are arranged in all possible manner as they are in a dictionary, then find the rank of the word ‘RAPID’. 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