garcineanumateouruok garcineanumateouruok

16-08-2017
Mathematics

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Stind ca n!= 123*......n sa se arate ca nr 13!-11! se divide cu 31

Respuesta :

ghanami ghanami

16-08-2017

hello :
13! = 13×12×11!
13!-11!= (13×12×11! ) - 11!
= 11! (13×12 -1)
=11! (156 - 1)
= 11! ( 155)
= 11!(31×5)
13!-11! = 31( 11!×5)

so : 13!-11! se divide cu 31

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