Question

Q14. 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?

Answer 1

Answer:

242

Step-by-step explanation:

LABOUR has 6 different alphabets...

therefore if we start arranging them in ascending order , we have to take "A" as initial letter and arrange it with all the possible matches of remaining letters....

So let us see,

A _ _ _ _ _ therefore total arrangements with initial letter as A would be 5*4*3*2*1 = 5! = 120

then we have to take B as initial letter, then arrange it with all other remaining letters i.e. L,A,O,U and R, So, let us see,

B _ _ _ _ _  therefore total arrangements with initial letter as B would be 5*4*3*2*1 = 5! = 120

now L will be the initial letter, lets see on which no. it will form LABOUR.

L A B O R U will be the first arrangement formed by L as initial letter and next would be LABOUR....

therefore its rank would be 120 + 120 + 2 = 242