garcineanumateouruok garcineanumateouruok
  • 16-08-2017
  • Mathematics
contestada

Stind ca n!= 1*2*3*......n sa se arate ca nr 13!-11! se divide cu 31

Respuesta :

ghanami
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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