retagged by
627 views
0 votes
0 votes

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

  A.

275

  B.

251

  C.

240

  D.

242

 can someone give me proper way to solve ?

retagged by

1 Answer

1 votes
1 votes
Assuming that word is LABOUR and RANK startes from 1

In order to find dictionary order,lets first arrange the alphabets in dictionary order,we get :-  A B L O R U

We need to find Rank of LABOUR, we know from the alphabet order that first words starting with A will come,then starting with B,then starting with L

1. Starting with A :- If A is the first alphabet,then we are left with 5 more alphabets which has maximum possible permutations as 5!.

2.Starting with B:- same as above

So till now we have fixed words staring with A and B which gives us total as 5!+5!=240 words.

3. Starting with L:-If L is first alphabet,then we rae left with 5 letters.Lets form the first possible word with them as: LABORU,which will have rank as 241.

Next word will be LABOUR which is our required word with rank 242.

D is the answer here,

Related questions

0 votes
0 votes
2 answers
1
sid1221 asked May 15, 2017
1,321 views
12 chairs are arranged in a row and are numbered 1 to 12 4 men have to be seated in these chairs so that the chairs numbered 1 and 8 should be occupied and no two men occ...