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All the letters of the word 'INDEED' are taken and permuted in all possible ways to form distinct 6 letter strings (words with or without meaning). If they are listed in dictionary order, then the rank position of the string 'NIDDEE' is
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The correct answer is:
175
(d) INDEED
$$
\begin{aligned}
& \text { D }-----=\frac{5 !}{2 !}=60 \\
& \text { E }-----=\frac{5 !}{2 !}=60 \\
& \text { I }-----=\frac{5 !}{2 ! 2 !}=30 \\
& \text { ND }-----=\frac{4 !}{2 !}=12 \\
& \mathrm{NE}-----=\frac{4 !}{2 !}=12 \\
& \text { NIDDEE }\quad\quad=1 \\
& \text { TOTAL } \quad\quad=175 \\
&
\end{aligned}
$$
$$
\begin{aligned}
& \text { D }-----=\frac{5 !}{2 !}=60 \\
& \text { E }-----=\frac{5 !}{2 !}=60 \\
& \text { I }-----=\frac{5 !}{2 ! 2 !}=30 \\
& \text { ND }-----=\frac{4 !}{2 !}=12 \\
& \mathrm{NE}-----=\frac{4 !}{2 !}=12 \\
& \text { NIDDEE }\quad\quad=1 \\
& \text { TOTAL } \quad\quad=175 \\
&
\end{aligned}
$$
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