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Question Number 27469 by byaw last updated on 07/Jan/18

Commented by byaw last updated on 31/Jan/18
please help solve this problem thank you
Commented by Tinkutara last updated on 31/Jan/18
Is the answer 399?
Commented by byaw last updated on 04/Feb/18

$Y e s$
	Answered by Tinkutara last updated on 31/Jan/18

	$T h e r e a r e 11 l e t t e r s :$ $2 t i m e s e a c h O, I, N$ $1 t i m e e a c h C, M, A, B, T$ $N u m b e r o f p e r m u t a t i o n s$ $= c o e f f i c i e n t o f x^{3} i n 3! {(1 + \frac{x}{1!} + \frac{x^{2}}{2!})}^{3} {(1 + x)}^{5}$
	Commented by byaw last updated on 04/Feb/18

	$t h a n k y o u f o r t h e w o r k .$ $C a n y o u p l e a s e e x p l a i n t h e f o r m u l a f o r m e ?$ $I n c a s e I g e t s i m i l a r q u e s t i o n$ $h o w c a n i a p p l y t h e f o r m u l a ?$ $H o w c a n I u s e t h e f o r m u l a t o s o l v e t h e p r o b l e m b l o w ?$ $How many arrangements are there in the$ $word COMMUNICATION taken$ $4 letters a t a t i m e .$ $T h a n k y o u .$
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