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Question Number 154268 by liberty last updated on 16/Sep/21

Commented by mr W last updated on 16/Sep/21

$8! = 40320$
Commented by liberty last updated on 17/Sep/21

$h o w ?$
Commented by mr W last updated on 17/Sep/21

$i n e a c h r o w a n d i n e a c h c o l u m n t h e r e$ $c a n o n l y b e m a x i m a l l y o n e r o o k .$ $s i n c e w e h a v e 8 r o o k s, w e m u s t p l a c e$ $o n e r o o k i n e a c h r o w .$ $t o p l a c e t h e r o o k i n t h e f i r s t r o w,$ $t h e r e a r e 8 w a y s .$ $t o p l a c e t h e r o o k i n t h e s e c o n d r o w,$ $t h e r e a r e o n l y 7 w a y s .$ $t o p l a c e t h e r o o k i n t h e t h i r d r o w,$ $t h e r e a r e o n l y 6 w a y s .$ $e t c .$ $t o t a l l y t h e r e a r e$ $8 \times 7 \times 6 \times . . . \times 2 \times 1 = 8! w a y s .$
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