Question

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

• A. 70
• B. 71
• C. 73
• D. 74

Answer 1

Answer: (D)

Given alphabets are $A,H,L,U,R$, so the number of words starts with letter $A=4!=24$
The number of words starts with letter $H=4!=2.4$
The number of words starts with letter $L=4!=24$
Now, the next word start with $R$ and order wise words are $RAHLU$ and $RAHUL$.
So in dictionary order the rank of word $RAHUL$ is
$24+24+24+1+1=74$