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sweet [91]
3 years ago
5

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

Mathematics
1 answer:
Margarita [4]3 years ago
3 0
Hello : 
13! = 13×12×<span>11!
</span>13!-11!= (13×12×11! ) - <span>11!
           = </span>11! (13×12 -1)
           =11! (156 - 1)
           = 11! (  155)
            = 11!(31×5)
13!-11! = 31( 11!×5)

so : <span>13!-11! se divide cu 31</span>
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