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  4. 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

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Q. 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___________

AP EAMCETAP EAMCET 2020

Solution:

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
$24+24+24+1+1=74$