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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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The correct answer is:
74
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.
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.
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