All the words that can be formed using the letters A, H, L, U, R are w

1.	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» (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.

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»

(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.