what is the rank of MASTER in dictionary

• In dic.
  1) total no. of words starting with A is 5! because 1st letter is A n rest 5 letter can be arranged in 5! ways...so 5!=120....
  2) Similarly, no. of words starting with E is 5!= 120....
  3) Now the first letter is M:-
  i) 2nd letter must be A then- total no. words in which 1st letter is M ad 2nd letter is A and 3rd letter is E is MAE--- = 3! = 6
  ii) similarly, MAR---= 3!=6
  iii) MASE-- = 2! =2
  iv) MASR-- = 2!= 2
  v) now the next letter is MASTER..
  total no. of words= 120+120+6+6+2+2= 256...so the rank of the letter is 257
• 12 years agoHelpfull: Yes(32) No(1)
• plz explain me...
• 12 years agoHelpfull: Yes(5) No(0)
• The letters of the are M,A,S,T,E,R.
  
  Write the alphabetical order of the letters of the given word MASTER as A,E,M,R,S,T
  
  Now strike off the first letter M.
  
  A,E,M,R,S,T.
  
  Then count the no.of letters before M, and it is equal to 2,which is the coefficient of 5!.
  
  Again strike off the first letter A.
  
  A,E,M,R,S,T
  
  Then count the no.of letters before A and it is equal to 0 which is coefficient of 4!
  
  Again strike off the first letter S.
  
  A,E,M,R,S,T
  
  Then count the no.of letters before S and it is equal to 2 which is coeffcient of 3!
  
  Again strike off the first letter T.
  
  A,E,M,R, S, T
  
  Then count the no.of letters before T and it is equal to 2 which is coeffcient of 2!
  
  Again strike off the first letter E.
  
  A,E, M,R, S,T
  
  Then count the no.of letters before E and it is equal to 0 which is coeffcient of 1!
  
  Finally add 1 to the above values to get the rank of the word MASTER as follows:
  
  2(5!) + 0(4!) +2(3!)+2(2!)+0(1!)+1=257
• 12 years agoHelpfull: Yes(3) No(3)