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  4. If all the letters of the word QUEUE are arranged in all possible manner as they are in a dictionary, then the rank of the word QUEUE is -

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Q. If all the letters of the word "QUEUE" are arranged in all possible manner as they are in a dictionary, then the rank of the word QUEUE is -

Permutations and Combinations

Solution:

EEQUU
Words starting with $E \rightarrow \frac{4 !}{2 !}$
Words starting with $QE \rightarrow \frac{3 !}{2 !}$
next word will be QUEEU $\rightarrow 1$
and finally QUEUE $\rightarrow 1$
Rank is $12+3+1+1=17^{\text {th }}$