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

E H M O R T (alphabetical order)Number of words beginning withE _ _ _ _ _ = 5!H _ _ _ _ _ = 5!M E _ _ _ _ = 4!M H _ _ _ _ = 4!M O E _ _ _ = 3!M O H _ _ _ = 3!M O R _ _ _ = 3!M O T E _ _ = 2!M O T H E R = 1!__________________∴ Rank of word MOTHER = 309