If all the words with or without meaning are written using the letters of the word QUEEN and are arranged as in English dictionary.What is the position of the word QUEEN? a)44th b)45th c)46th d)47th


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Question Number 52381 by Necxx last updated on 07/Jan/19

$I f a l l t h e w o r d s w i t h o r w i t h o u t$ $m e a n i n g a r e w r i t t e n u s i n g t h e$ $l e t t e r s o f t h e w o r d Q U E E N a n d$ $a r e a r r a n g e d a s i n E n g l i s h$ $d i c t i o n a r y . W h a t i s t h e p o s i t i o n$ $o f t h e w o r d Q U E E N ?$ $a) 4 4 t h b) 45 t h c) 46 t h d) 47 t h$
	Answered by tanmay.chaudhury50@gmail.com last updated on 07/Jan/19

	$t o t a l w o r d s = \frac{5!}{2!} = 60$ $w o r d s s t a r t Q = \frac{4!}{2!} = 12$ $w o r d s s t a r t w i t h U = \frac{4!}{2!} = 12$ $s o t o t a l w o r d s e x c l u d i n g t h e w o r d s s t a r t w i t h$ $U a n d Q i s = 60 - 24 = 36$ $Q E w o r d s = 6$ $Q N w o r d s = \frac{3}{2!} = 3$ $Q U w o r d s \to 3 (Q U E E N, Q U E N E, Q U N E E)$ $s o r a n k o f Q U E E N i s$ $= 36 + 6 + 3 + 1 = 46 t h$
	Answered by mr W last updated on 07/Jan/19

	$t o t a l n u m b e r o f w o r d s = \frac{5!}{2!} = 60$ $n u m b e r o f w o r d s U x x x x = \frac{4!}{2!} = 12$ $Q U N E E, Q U E N E = 2$ $12 + 2 = 14$ $i . e . 14 f r o m 60 w o r d s a r e a f t e r Q U E E N,$ $i . e . Q U E E N i s t h e 46 t h w o r d .$ $\Rightarrow a n s w e r c) i s c o r r e c t$
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