If all the letters of the word MASTER are permuted in all possible ways and words (with or without meaning) thus formed are arranged in dictionary order. then the rank of the word MASTER is

Step-by-step solution

Given the letters, A, E, M, R, S, T . Total numbers start with A _ _ _ _ =5 ! Total numbers start with E _ _ _ _ _ =5 ! Total numbers start with M A E _ _ _ =3 ! Total numbers start with M A R _ _ _ =3 ! Total numbers start with M A S E _ _ =2 ! Total numbers start with M A S R _ _ =2 ! Total numbers start with M A S T E R =1 ! So, rank of MASTER =2 5!+2 3!+2 2!+1=257