If all letters of MATHS were rearranged to form different words possible. Then in dictionary order, rank of MATHS would be-

• MATHS
  First arrange the letters in alphabetical order --> AHMST
  No. of words starting with "A" => A(----) => 4! = 24
  No. of words starting with "H" => H(----) => 4! = 24
  So total words = 24+24 = 48
  
  Next letter to start ll be "M"
  First word M---- => arrange the remaining letters in alph. order
  MAH(--) => 2! = 2 [includes, MAHST, MAHTS]
  MAS(--) => 2! = 2 [includes, MASHT, MASTH]
  
  So Total no. of words before MATHS ll be => 48 + 2 + 2 = 52
  So 53rd word ll be MATHS
  So 54th word ll be MATSH
  So rank of MATHS ll be = 53
  
  Ans : 53
• 10 years agoHelpfull: Yes(21) No(0)
• 53
  
  rank of MATHS = 4!+ 4! +2+2+1 = 53
• 10 years agoHelpfull: Yes(0) No(0)