The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
a) ARBSEU
b) ARBESU
c) ARBSUE
d) ARBEUS

• Firstly arrange it in alphabatical order i.e
  ABERSU
  Take first two letter as a constant i.e ABersu(remaining ersu can be arranged in 4! ways)
  the next letter according to dictionary is AEbrsu take first two letter as a constant i.e AEbrsu(remaining brsu can be arranged in 4! ways)
  so far we had completed 48 words the
  49 word is ARBESU
• 12 years agoHelpfull: Yes(57) No(2)
• AB**** =4!= 24 ways
  AE****=4!=24 ways next word is 49th so
  AR**** in alphabetical order **** will be BESU
  ans is B
• 12 years agoHelpfull: Yes(39) No(4)
• ABUSER(ORIGINAL)
  ABERSU(ALPHABETICAL)
  AB(E,R,S,U) CAN BE ARRANGE AS 4!=24 WAYS
  AE(B,R,S,U) CAN BE ARRANGE AS 4!=24 WAYS
  "ARBESU" WOULD BE THE 49TH WORD.
  
• 12 years agoHelpfull: Yes(12) No(2)
• plz xplain it..can't understand.
• 12 years agoHelpfull: Yes(4) No(5)
• ans is:ARBESU.
  At first arrange the word in alphabatical order.
  know it will be ABERSU.know take the first letter of original word it is A
  A-0*5!(before A there is no letter so it is 0 then put * then except A there is 5 letters)
  know there is BERSU
  R-2*4!(before R there is 2 letters so 2*remaining 4 letters without including A&R)
  know BESU
  B-0*3!
  know ESU
  E-0*2!
  SU
  S-0*1!
  then the word ARBESU=1
  0*5!+2*4!+0*3!+0*2!+0*1!+1=49.
  the word at 49th position is ARBESU
• 11 years agoHelpfull: Yes(1) No(1)
• Ans:ARBESU (b)
• 11 years agoHelpfull: Yes(0) No(0)
• any explain in detail????????
• 8 years agoHelpfull: Yes(0) No(0)
• The best way to solve this problems is Just ask how many words starts with A. If we fix A, then the remaining letters can be arranged in 5! ways = 120. So the asked word must start with A.
  Arrange all the given letters in alphabetical order. ABERSU
  Let us find all the words start with AB. AB**** = 4!= 24 ways
  Now we find all the words start wit AE. AE****= 4!= 24 ways
  So next word start with AR and remaining letters are BESU
  
  So option B
• 8 years agoHelpfull: Yes(0) No(0)