Question

All the words that can be formed using the letters A, H, L, U, R are written as in a dictionary (no alphabet is repeated). Then the rank of the word RAHUL is 

(a) 71 

(b) 72 

(c) 73 

(d) 74

Answer 1

(c) 73

The words coming before RAHUL in the dictionary will have A, H, L or R as their first letters. 

I. When A is the first letter, the rest of the 4 letters H, L, R, U can fill the next 4 places in 4 ! 

∴ Number of words beginning with A = 24 

II. When H is the first letter, the rest of the 4 letters A, L, R, U can fill the next 4 places in 4! 

Number of words beginning with H = 24 

Similarly, the number of words beginning with L = 24 

Now among the words having R as their first letter, there is only one word which comes before RAHUL and that is RAHLU 

Thus there are (24 × 3) + 1 = 73 words before RAHUL.

Comments

Answer will be 74 as the rank of the word rahul is asked