The letters in the word ADOPTS are permuted in all possible ways and arranged in alphabetical order then find the word at position 42 in the permuted alphabetical order?
(a) AOTDSP
(b) AOTPDS
(c) AOTDPS
(d) AOSTPD

• In alphabetical order : A D O P S T
  A D _ _ _ _ : empty places can be filled in 4!=24
  A O D _ _ _ : 3!= 6
  A O P _ _ _ : 3!=6
  till this 36 words r obtained,we need the 42nd word. SO
  then
  37: A O S D P T
  38: A O S D T P
  39: A O S P D T
  40: A O S P T D
  41: A O S T D P
  42: A O S T P D --> 42nd word
  
  
• 11 years agoHelpfull: Yes(55) No(3)
• Take example "DEAR".find 8th word
  write the letters in "DEAR" in alphabetical order.
  A D E R
  STart with A _ _ _ (in dictionary every word starts with A)..here the empty places can b filled in 3! ways=6 (i.e ADER,ADRE,AEDR,AERD,ARDE,ARED)- 6 words
  next take D _ _ _ =3! =6 words. but v need the 8th word. hence we reduce the empty spaces i.e
  we know D A _ _ =2!=2 words (DAER, DARE )
  hence DARE is the 8th word.
  
  @Devika and Ipsita : hope yu understud...
• 11 years agoHelpfull: Yes(12) No(4)
• Answer Explanation:
  
  (ADO)(PST)-Alphabetial order
  (AOD)(PST)-Can be arrange in 3! ways=6
  (AOP)(DST)-Can be arrange in 3! ways=6
  (AOS)(DPT)-Can be arrange in 3! ways=6
  (AOT)(DPS)-Can be arrange in 3! ways=6
  (AOT)(PSD)-Can be arrange in 3! ways=6
  (AOP)(TSD)-Can be arrange in 3! ways=6
  (AOS)(TPD)-Can be arrange in 3! ways=6
  6+6+6+6+6+6+6=42
  So,"AOSTPD" Would be the 42th word.
• 11 years agoHelpfull: Yes(7) No(2)
• arrange the words alphabetically A,D,O,P,T,S
  start with A _ _ _ _ _ ways 5!=120 it is more than required
  so put D at second pos AD _ _ _ _ ways 4!=24 now replace D with O
  AO _ _ _ _ 4!=24 ways total 24+24=48 more than required so put thirs letter
  AOD _ _ _ 3!=6 so ways till now 24+6=30 doing the same we will reach AOSTPD at 42nd postion
• 11 years agoHelpfull: Yes(7) No(1)
• to devika, muthu yogalakshmi and ipsita saha..
  first take the given letters of a word in alphabetical order..
  adopst...
  if a is the first word then the remaining 5 letters can be arranged in 5! ways (i.e) 120 ways but it is more than 42
  so take the next alphabet in order next to a
  now consider ad then remaining 4 letters can be arranged as 4!=24 which is lesser than 42 so take the next possibility as ao now we get another 24 ways so totally 48 ways from ad and ao... 42 lies in ao so take the next letter as aod then the remaining will be arranged as 3!=6 ways but 24 ways +6 ways is 30 so choose another letter as aop which gives another 6 ways so totally 36 words so the next will aos ehich gives another 6 ways which is equal to 42.. we need to find the 6th way in the aos combination.. choose the next letter aosd will be = 2 ways and we need the 6th way and so choose the next lettet in alpha order aosp which gives upto 40 th word and so select aost which gives the 41st and 42nd word now we need to find the 2nd word in aost combination whch is aostpd
• 10 years agoHelpfull: Yes(6) No(1)
• hi karthika,i cant understand these types of ques til now......can u explain the logic behind it
• 11 years agoHelpfull: Yes(3) No(1)
• Ans:(d) AOSTPD
  
  Pls anybody explain the answer.
• 11 years agoHelpfull: Yes(1) No(0)
• pls exlpn the logic behind these type of problms
• 11 years agoHelpfull: Yes(1) No(1)