the letter of word LABOUR are permutated in all possible ways and the words thus formed are arranged as in a dictionary.What is the rank of the word LABOUR?

• the word given is labour. first do ranking in order of occurance in alphabatic order abcd..... eg(abd would be written as 123 and bac would be written as 213,zxg 321) .so labour would be written as 312456. here there is no repeatition of any word .now starting from left to right on alphabatic ordering (in our case labour is 312456) now see how many are nos are there.
  first is 3 seeing left to right there are only 2 less(1 and 2),after 3 there is 1 and no number is less(seeing left to right) so 0,then 2 no less no so 0,4 is also 0 6 is having 5 which is less so 1,after 6 there is 5 but no number after 5 so 5 is 0.
  312465 will be
  200010 on basis of left to right
  now as no repetatition so we will write as 2/0!, 0/0! ,0/0! ,0/0! ,1/0! ,0/0!( if there will be any repetation then it would done same as as left to right then decreasing )....
  
  now labour has taken form of 2/0!, 0/0! ,0/0! ,0/0! ,1/0! ,0/0!. Now as there are 6 letter in labour we would start from 0 to (no of letter -1) 6-1=5 we would multiply ( 2/0!, 0/0! ,0/0! ,0/0! ,1/0! ,0/0!) from right to left
  
  2/0! * 5! , 0/0! * 4! ,0/0! * 3! , 0/0! * 2 , 1/0! * 1! ,0/0! * 0! then sum all of it=241 so our rank would be=241+1=242(ans)
  
  
  ................................ if u find it diffucult to understand plz go to youtube and see video on how to rank a word in dictonary on basis of permutation and combination
  
  
• 9 years agoHelpfull: Yes(0) No(0)