20th rank of parrot in dictionary

• 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
• 10 years agoHelpfull: Yes(4) No(0)
• arrange numbers in the alphabetical order:
  3 1 4 4 2 5
  P A R R O T
  2 0 1 1 0 0 (P-2 numbers are present less than 3 i.e 1,2 )
  5! 4! 3! 2! 1! 0!
  simplify: (2/2!)*5!+0+(1/2!)*3!+(1*2!)+0+0
  = 1*5!+3!/2+2+0
  = 120+3+2
  = 125
  
• 10 years agoHelpfull: Yes(2) No(13)
• For the word PARROT , assign the numbers to letters according to alphabetical order i.e,
  
  3 1 4 4 2 5
  P A R R O T
  A comes 1st so for A-1
  O comes 2nd so for O-2
  Now,
  For P : After P-3 letters are A-1,R-4,R-4,O-2,T-5
  In the numerator Right side of P having less numbers are (A-1,O-2)i.e, : 2
  In the denominator no: of repeating letters (2 times R) then 2!
  then , 2/2!
  Similarly For A : 0/2!
  For R : 1/2!
  For R : 1/1!
  For O : 0/1!
  For T : 0/1!
  
  P A R R O T
  
  2/2! 0/2! 1/2! 1/1! 0/1! 0/1!
  | | | | | |
  | | | | | |
  
  5! 4! 3! 2! 1! 0!
  
  2/2!*5! + 0/2!*4! + 1/2!*3! + 1/1!*2! + 0/1!*1! + 0/1!*0! = 125
  
  
  
• 10 years agoHelpfull: Yes(2) No(2)
• alphabetical sequence: AOPRRT
  alphabets starting with A: 5!/2!=60
  alphabets starting with AO:4!/2!= 12
  =>alphabet starting with AP
  alphabet starting with APO=3!/2!=6
  this includes 18 words.
  19th word will be: APRORT
  20th word will be: APRROT.
  
• 10 years agoHelpfull: Yes(2) No(0)