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Question Number 94816 by i jagooll last updated on 21/May/20

Commented by i jagooll last updated on 21/May/20

Commented by i jagooll last updated on 21/May/20

$yes sir . my answer is wrong$
	Answered by mr W last updated on 21/May/20

	$p o s s i b i l i t i e s t o t a l : 12!$ $p o s s i b i l i t i e s t h a t s t u d e n t s o f c l a s s B$ ${d o n}^{'} t s t a n d n e x t t o e a c h o t h e r :$ $C_{5}^{8} \times 5! \times 7! = 33 868 800$ $p r o b a l i l i t y p = \frac{C_{5}^{8} \times 5! \times 7!}{12!} = \frac{7}{99}$
	Commented by i jagooll last updated on 21/May/20

	$how get C_{5}^{8} sir ?$
	Commented by mr W last updated on 21/May/20

	$i f w e h a v e 5 r e d b a l l s a n d 7 b l u e s$ $b a l l s a n d w e p l a c e t h e m i n a l i n e$ $s u c h t h a t n o r e d b a l l s a r e n e x t t o$ $e a c h o t h e r . h o w m a n y w a y s ? c e r t a i n l y$ $m u c h m o r e t h a n 3, i t h i n k .$
	Commented by i jagooll last updated on 21/May/20

	Commented by i jagooll last updated on 21/May/20

	$i got it sir$
	Commented by mr W last updated on 21/May/20

	$h o w d i d y o u g e t 3 \times 5! \times 7! ?$
	Commented by prakash jain last updated on 21/May/20

	$7 students provide 8 possibilities$ $for class B student to occupo$ $- A - A - A - A - A - A - A -$ $- are spaces available for class B .$
	Commented by mr W last updated on 21/May/20

	$h o w i s o l v e d :$ $s t u d e n t s f r o m c l a s s B m u s t b e s e p a r a t e d$ $b y a t l e a s t o n e s t u d e n t f r o m c l a s s A .$ $s o w e a r r a n g e a t f i r s t t h e s t u d e n t s$ $f r o m c l a s s A, t h e r e a r e 7! w a y s .$ $◻ A ◻ A ◻ A ◻ A ◻ A ◻ A ◻ A ◻$ $n o w w e p l a c e t h e s t u d e n t s f r o m c l a s s$ $B . t h e y c a n b e p l a c e d i n t h e p o s i t i o n s$ $◻ . f r o m t h e s e 8 p o s s i b l e p o s i t i o n s w e$ $s e l e c t 5 f r o m s t u d e n t s o f c l a s s B,$ $t h e r e a r e C_{5}^{8} w a y s . t o a r r a n g e t h e s e 5$ $s t u d e n t s i n t h e s e l e c t e d 5 p o s i t i o n s$ $t h e r e a r e 5! w a y s . t h e r e f o r e t h e$ $t o t a l p o s s i b i l i t i e s t o a r r a n g e t h e$ $12 s t u d e n t s s u c h t h a t n o s t u d e n t s$ $f r o m c l a s s B a r e n e x t t o e a c h o t h e r$ $a r e 7! \times C_{5}^{8} \times 5! .$
	Commented by i jagooll last updated on 21/May/20

	$yes sir . it right$
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