{"id":6936,"date":"2021-10-22T01:46:53","date_gmt":"2021-10-21T20:16:53","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6936"},"modified":"2021-10-25T01:29:14","modified_gmt":"2021-10-24T19:59:14","slug":"how-many-different-words-can-be-formed-by-jumbling-the-letters-in-the-word-mississippi-in-which-no-two-s-are-adjacent","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/how-many-different-words-can-be-formed-by-jumbling-the-letters-in-the-word-mississippi-in-which-no-two-s-are-adjacent\/","title":{"rendered":"How many different words can be formed by jumbling the letters in the word ‘MISSISSIPPI’ in which no two S are adjacent ?"},"content":{"rendered":"

Solution :<\/h2>\n

Given word is MISSISSIPPI,<\/p>\n

Here, I occurs 4 times, S = 4 times<\/p>\n

P = 2 times, M = 1 time<\/p>\n

So, we write it like this _M_I_I_I_I_P_P_<\/p>\n

Now, we see that spaces are the places for letter S, because no two S can be together<\/p>\n

So, we can place 4 S in these 8 space in \\(^8C_4\\) ways.<\/p>\n

and we can arrange other 7 letters in \\(7!\\over 4!2!\\) ways.<\/p>\n

Hence, total number of words can be formed = \\(^8C_4\\) \\(\\times\\) \\(7!\\over 4!2!\\)<\/p>\n

= 7. \\(^8C_4\\) . \\(^6C_4\\)<\/p>\n

\n

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From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The probability that selection contains one of each category is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Given word is MISSISSIPPI, Here, I occurs 4 times, S = 4 times P = 2 times, M = 1 time So, we write it like this _M_I_I_I_I_P_P_ Now, we see that spaces are the places for letter S, because no two S can be together So, we can place 4 S in …<\/p>\n

How many different words can be formed by jumbling the letters in the word ‘MISSISSIPPI’ in which no two S are adjacent ?<\/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 different words can be formed by jumbling the letters in the word 'MISSISSIPPI' in which no two S are adjacent ?<\/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-different-words-can-be-formed-by-jumbling-the-letters-in-the-word-mississippi-in-which-no-two-s-are-adjacent\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How many different words can be formed by jumbling the letters in the word 'MISSISSIPPI' in which no two S are adjacent ?\" \/>\n<meta property=\"og:description\" content=\"Solution : Given word is MISSISSIPPI, Here, I occurs 4 times, S = 4 times P = 2 times, M = 1 time So, we write it like this _M_I_I_I_I_P_P_ Now, we see that spaces are the places for letter S, because no two S can be together So, we can place 4 S in … How many different words can be formed by jumbling the letters in the word ‘MISSISSIPPI’ in which no two S are adjacent ? 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