many words with 4 letters can be formed using letters from the word TINKUTARA is __


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Question Number 103367 by bobhans last updated on 14/Jul/20

$m a n y w o r d s w i t h 4 l e t t e r s c a n b e f o r m e d$ $u s i n g l e t t e r s f r o m t h e w o r d$ $T I N K U T A R A i s___$
	Answered by mr W last updated on 15/Jul/20

	$w e h a v e f o l l o w i n g l e t t e r s :$ $A A, T T, I N K U R$ $t o f o r m a 4 l e t t e r w o r d, w e h a v e$ $f o l l o w i n g c a s e s :$ $x x y y \Rightarrow \frac{4!}{2! 2!} = 6 w a y s$ $x x y z \Rightarrow 2 \times C_{2}^{6} \times \frac{4!}{2!} = 360 w a y s$ $x y z w \Rightarrow C_{4}^{7} \times 4! = 840 w a y s$ $\Rightarrow t o t a l 6 + 360 + 840 = 1206$
	Commented by bramlex last updated on 15/Jul/20

	$cooll$
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