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If all the words that can be formed using all the letters of the word 'MOTHER' are listed in a dictionary, then what wull be the 309th word? |
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Answer» Answer: There are 6 letters, each different Before MOTHER, words from E , H will come Words from E = 5! (there are 5 letters to arrange) Words from H = 5!( there are 5 letters to arrange) Now words starting by M will come. First ME will have = 4! (as 4 letters will be arranged) Then MH = 4! Now words with MO First words starting with MOE... =3! And words starting with MOH... =3! the words starting with MOR... =3! Now, words starting from MOT will come words starting with MOTE.. = 2! then after words starting from MOTH will come and first word will MOTHER so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3! = 120 +120 + 48 + 18 = 306 so, RANK of MOTHER = 307 |
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