{"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":"
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
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