All the words that can be formed using alphabets A, H, L, U, R are written as in dictionary (no alphabet is…
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.......
70
71
73
74
Solution
Given alphabets are A, H, L, U, R, so the number of words starts with letter \(\mathrm{A}=4 !=24\)
The number of words starts with letter \(\mathrm{H}=4 !=2.4\)
The number of words starts with letter \(\mathrm{L}=\mathbf{4} !=\mathbf{2 4}\)
Now, the next word start with \(\mathrm{R}\) and order wise words are RAHLU and RAHUL. So in dictionary order the rank of word RAHUL is
\(24+24+24+1+1=74\)
Hence, option (d) is correct.