In how many ways can you divide 20 students into 5 groups with 4 students in each group such that any two students don′t meet each other in more than one group.


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Question Number 160665 by mr W last updated on 04/Dec/21

$I n h o w m a n y w a y s c a n y o u d i v i d e 20$ $s t u d e n t s i n t o 5 g r o u p s w i t h 4 s t u d e n t s$ $i n e a c h g r o u p s u c h t h a t a n y t w o$ $s t u d e n t s {d o n}^{'} t m e e t e a c h o t h e r i n$ $m o r e t h a n o n e g r o u p .$
Commented by talminator2856791 last updated on 06/Dec/21

$‘ ‘ {don}^{'} t {meet}^{″} mean ?$
Commented by mr W last updated on 06/Dec/21

$i t m e a n s t h e y a r e n o t t o g e t h e r i n t h e$ $s a m e g r o u p f o r m o r e t h a n o n e t i m e .$ $i . e . y o u m a y n o t p u t a n y t w o s t u d e n t s$ $i n t h e s a m e g r o u p m o r e t h a n o n e t i m e .$
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