Calcule fatorial:
a) 7! . 9! / 8! . 5!
b) (n+4)! / (n+2)!
c) (n - 5)! / (n - 3)!
Soluções para a tarefa
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a) 7! . 9! / 8! . 5! = 7.6.5! . 9.8! / 8! . 5! = 7.6.9 = 378
b)(n+4)! / (n+2)! = (n+4)(n+3)(n+2)! / (n+2)! = (n+4)(n+3) = n²+7n+12
c) (n-5)! / (n-3)! = (n-5)! / (n-3)(n-4)(n-5)! = 1 / (n-3)(n-4) = 1 / (n²-7n+12)
b)(n+4)! / (n+2)! = (n+4)(n+3)(n+2)! / (n+2)! = (n+4)(n+3) = n²+7n+12
c) (n-5)! / (n-3)! = (n-5)! / (n-3)(n-4)(n-5)! = 1 / (n-3)(n-4) = 1 / (n²-7n+12)
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