Question
Question: If the letters of the word MOTHER are written in all possible orders and these words are written out...
If the letters of the word MOTHER are written in all possible orders and these words are written out as in a dictionary, then the rank of the word MOTHER is –
A
240
B
261
C
308
D
309
Answer
309
Explanation
Solution
Sol. Explanation:
5! words will begin with E and 5! words will begin with H. Then M series will begin. 4! words will begin with ME and another 4! words will begin with MH. Then comes MOE, MOH, MOR (3! words from each series)
̃ Total before MOT = 120 + 120 + 4! + 4! + 3! + 3! + 3!
= 306
If we write all words of the series MOT, we get MOTEHR, MOTERH, MOTHER.
̃ The rank of MOTHER Is 309.