Given the word PARROT. Find the 20th word in dictionary order?

• If first letter is A = 5!/2! = 60 so first letter is A
  second letter is O = 4!/2! = 12 it is less than 20 rank is reduced to 20-12=8
  now second letter is P = 4!/2! = 12 so second letter is P
  now third letter is O = 3!/2! = 3 is less than 8 rank is reduced to 8-3=5
  now third letter is R = 3! = 6 so third letter is R
  now fourth letter is O = 2!/1! = 2 is less than 5 rank is reduces to 5-2=3
  now fourth letter is R = 2!/1! = 2 is less than 3 rank is reduces to 3-2=1
  now fourth letter is T = 2!/1! = 2 so fourth letter is T
  now Fifth letter is O = 1 so fifth letter is O
  n Sixth letter is R
  hence Answer = APRTOR
  
• 12 years agoHelpfull: Yes(9) No(22)
• AAO = 4! / 2! = 12
  AAPO = 3!/2! = 3
  AAPRO = 2! = 2
  AAPRR = 2! = 2
  = 19
  Therefore, 20th word is AAPRTOR
• 9 years agoHelpfull: Yes(0) No(0)