{"id":6943,"date":"2021-10-22T01:53:43","date_gmt":"2021-10-21T20:23:43","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6943"},"modified":"2021-10-25T01:24:39","modified_gmt":"2021-10-24T19:54:39","slug":"if-the-letters-of-the-word-sachin-are-arranged-in-all-possible-ways-and-these-words-are-written-out-as-in-dictionary-then-the-word-sachin-appears-at-serial-number","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-the-letters-of-the-word-sachin-are-arranged-in-all-possible-ways-and-these-words-are-written-out-as-in-dictionary-then-the-word-sachin-appears-at-serial-number\/","title":{"rendered":"If the letters of the word ‘SACHIN’ are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number"},"content":{"rendered":"

Solution :<\/h2>\n

In the word SACHIN’ order of alphabets is A, C, H, I, N and S. Number of words start with A = 5!, so with C, H, I, N.<\/p>\n

Now, words start with S and after that ACHIN are in ascending order of position, so 5.5! = 600 words are in dictionary before, words with S start and position of this word is 601.<\/p>\n


\n

Similar Questions<\/h3>\n

A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is<\/a><\/p>\n

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is<\/a><\/p>\n

How many ways are there to arrange the letters in the word \u2018GARDEN\u2019 with the vowels in alphabetical order ?<\/a><\/p>\n

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

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 : In the word SACHIN’ order of alphabets is A, C, H, I, N and S. Number of words start with A = 5!, so with C, H, I, N. Now, words start with S and after that ACHIN are in ascending order of position, so 5.5! = 600 words are in dictionary before, …<\/p>\n

If the letters of the word ‘SACHIN’ are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number<\/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 the letters of the word 'SACHIN' are arranged in all possible ways and these words are written out as in dictionary, then the word 'SACHIN' appears at serial number<\/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-the-letters-of-the-word-sachin-are-arranged-in-all-possible-ways-and-these-words-are-written-out-as-in-dictionary-then-the-word-sachin-appears-at-serial-number\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the letters of the word 'SACHIN' are arranged in all possible ways and these words are written out as in dictionary, then the word 'SACHIN' appears at serial number\" \/>\n<meta property=\"og:description\" content=\"Solution : In the word SACHIN’ order of alphabets is A, C, H, I, N and S. 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