What is the rank of the word MASTER in dictionary order?

• 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
• 11 years agoHelpfull: Yes(9) No(5)
• 257
  
  NO OF WORDS BEGIN WITH A=5!=120
  "" "" "" E=5!=120
  " "" "" MAE=3!=6
  "" "" MAR=3 !=6
  "" """ MASE=2!=2
  " "" MASR=2!=2
  " "" MASTER=1
  ADDING THEM WILL GET 257 WHICH IS THE RANK OF MASTER
• 11 years agoHelpfull: Yes(7) No(1)
• Rank of the word MASTER is=257
  No of words begin with M=2(5!)=240 +
  No of words begin with A=0(4!)=0 +
  No of words begin with S=2(3!)=12 +
  No of words begin with T=2(2!)=4 +
  No of words begin with E=0(1!)=0 +
  No of words begin with R=1(0!)=1
  =257
• 11 years agoHelpfull: Yes(4) No(4)
• total no. of words start from 'A' is 120 i.e 5!
  similarly no. of words from "E" is also 120 i.e 5!
  now according to alphabet given in question M comes after E
  now on arranging words according to alphabet the 246th word is MASRTE.
  SO THE NEXT WORD COME IS "MASTER" that is on 257th position on dictionary.
  so answer is 257
• 9 years agoHelpfull: Yes(1) No(0)
• 2*5!+0*4!+2*3!+2*2!+0+0+1=257
• 5 years agoHelpfull: Yes(0) No(0)