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Question Number 51286 by aseerimad last updated on 25/Dec/18

	Answered by mr W last updated on 26/Dec/18

	$T y p e 1 :$ $N u m b e r o f w o r d s s t a r t i n g w i t h D :$ $= \frac{7!}{2!} = 2520$ $T y p e 2 :$ $N u m b e r o f w o r d s e n d i n g w i t h R :$ $= \frac{2! 7!}{2!} = 5040$ $b u t i n t h i s n u m b e r s o m e w o r d s s t a r t$ $w i t h D w h i c h a r e a l r e a d y c o u n t e d i n$ $t y p e 1 .$ $T y p e 3 :$ $N u m b e r o f w o r d s e n d i n g w i t h R b u t$ $s t a r t i n g w i t h D :$ $= \frac{2! 6!}{2!} = 720$ $\Rightarrow r e s u l t i s 2520 + 5040 - 720 = 6840$
	Commented by Tawa1 last updated on 26/Dec/18

	$God bless you sir, i learn more$
	Commented by aseerimad last updated on 26/Dec/18

	$t h a n k y o u s i r .$
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