{"id":6949,"date":"2021-10-22T01:56:07","date_gmt":"2021-10-21T20:26:07","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6949"},"modified":"2021-10-25T01:24:44","modified_gmt":"2021-10-24T19:54:44","slug":"the-number-of-ways-of-distributing-8-identical-balls-in-3-distinct-boxes-so-that-none-of-the-boxes-is-empty-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-number-of-ways-of-distributing-8-identical-balls-in-3-distinct-boxes-so-that-none-of-the-boxes-is-empty-is\/","title":{"rendered":"The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is"},"content":{"rendered":"

Solution :<\/h2>\n

The number of ways of distributing n identical things in m different boxes is \\(^{n-1}C_{m-1}\\)<\/p>\n

So, Required number of ways = \\(^{8-1}C_{3-1}\\)<\/p>\n

= \\(^7C_2\\)<\/p>\n

= 21<\/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 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

How many ways are there to arrange the letters in the word \u2018GARDEN\u2019 with the vowels in alphabetical order ?<\/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 : The number of ways of distributing n identical things in m different boxes is \\(^{n-1}C_{m-1}\\) So, Required number of ways = \\(^{8-1}C_{3-1}\\) = \\(^7C_2\\) = 21 Similar Questions 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. …<\/p>\n

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is<\/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":"\nThe number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is<\/title>\n<meta name=\"robots\" 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