What is the 32nd word of “WAITING” in a dictionary?

• source: internet
  purpose: ease of understanding
  
  Arranging the words of waiting in Alphabetical Order : A,G,I,I,N,T,W
  
  Start with A_ _ _ _ _ _ This can be arranged in 6!/2! ways=720/2=360 ways
  so can't be arranged starting with A alone as it is asking for 32nd word so it is out of range
  
  AG_ _ _ _ then the remaining letters can be arranged in 5!/2! ways so,120/2=60 ways. Out of range as it has to be within 32 words.
  AGI _ _ _ Now the remaining letters can be arranged in 4! ways =24
  AGN _ _ _ _ can be arranged in 4!/2! ways or 12 ways
  so,24+12 =36th word so out of range. So we should not consider all the words start with AGN
  now AGNI_ _ _can be arranged in 3! ways =6 ways
  so 24+6=30 within range
  Now only two word left so, arrange in alphabetical order.
  AGNTIIW - 31st word
  AGNTIWI - 32nd word
• 8 years agoHelpfull: Yes(13) No(3)
• Sorry i did wrong in my 1st solution,
  the answer will be AGNIIWT
  fixing AGI we have AGI IWTN no. of arrangements =4!=24 ways
  again fixing AGN TWII 4!/2!==4*3=12 ways
  it is crossing 32 as sum is 36(24+12)
  so word lie inside this AGN ,fixing AGNI TWI we have 3!=6 ways
  so 30 words.now do manually 31st-AGNIITW
  32-AGNIIWT
• 8 years agoHelpfull: Yes(2) No(6)
• AGNTIWI is the right answer
  
• 8 years agoHelpfull: Yes(1) No(0)
• AGIINWT
  A G I _ _ _ = 4!=24
  A G I I _ _ _=3!=6 (24+6=30)
  A G I I N TW= 31
  A G I I N W T = 32
• 8 years agoHelpfull: Yes(1) No(0)
• WAITJZZ
  Starting from G till 26(i.e. z its 19)+j wil be incremented till z(i.e. 13)
• 8 years agoHelpfull: Yes(0) No(0)
• fixing AGI at start AGI WTIN,no. of possible arrangements= 4!=24 ways
  again fixing AGII at start AGII WTN no. of possible arrangements=3!=6 ways
  i.e. total 30 words arranged.do the rest 2 manually
  AGII NTW 31st word
  AGIINWT 32nd word (ANSWER)
• 8 years agoHelpfull: Yes(0) No(0)
• AGIINWT
  AGI-----24WORDS
  AGNI---6WORDS
  AGNIITW 31ST WORD
  AGNIIWT 32WORD
• 8 years agoHelpfull: Yes(0) No(2)