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 -

Question

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 - (A) 15 text th  (B) 16 text th  (C) 17 text th  (D) 18 text th

Tardigrade Admin · Accepted Answer

EEQUU Words starting with E arrow (4 !/2 !) Words starting with QE arrow (3 !/2 !) next word will be QUEEU arrow 1 and finally QUEUE arrow 1 Rank is 12+3+1+1=17 text th

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 -

$1 5^{th}$

$1 6^{th}$

$1 7^{th}$

$1 8^{th}$

EEQUU
Words starting with $E \to \frac{4 !}{2 !}$
Words starting with $QE \to \frac{3 !}{2 !}$
next word will be QUEEU $\to 1$
and finally QUEUE $\to 1$
Rank is $12 + 3 + 1 + 1 = 1 7^{th}$

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 -

15th

16th

17th

18th

EEQUU Words starting with E→2!4!​ Words starting with QE→2!3!​ next word will be QUEEU →1 and finally QUEUE →1 Rank is 12+3+1+1=17th

$1 5^{th}$

$1 6^{th}$

$1 7^{th}$

$1 8^{th}$

EEQUU
Words starting with $E \to \frac{4 !}{2 !}$
Words starting with $QE \to \frac{3 !}{2 !}$
next word will be QUEEU $\to 1$
and finally QUEUE $\to 1$
Rank is $12 + 3 + 1 + 1 = 1 7^{th}$