Question

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

• A. $71$
• B. $72$
• C. $73$
• D. $74$

Answer 1

The correct option is D

$74$

Explanation for the correct option:

Find the rank of the word $RAHUL$:

Total No. of words starting with $A$ are $4!=24$

Total No. of words starting with $H$ are $4!=24$

Total No. of words starting with $L$ are $4!=24$

$\therefore$Total of These words are $24+24+24=72$ words

Now, among the words with $R$ as their first letter, there is only single word which comes before $RAHUL$ and that is $RAHLU$ that is the next word is $RAHLU$ and the $74th$ word is $RAHUL$.

Thus, The rank of the word $RAHUL$ is $74$.

Hence, Option ‘D’ is Correct.