Question

m=(3.2)!+2.4!+(4!)²-7!/7.0!

A) 137
B) 624
c) 1343
D) 1344
E) 40896

Answer 1

Resposta:

Alternativa B.

Explicação passo-a-passo:

M = ( 3 × 2 )! + 2× 4! + (4!)² - 7! ÷ 7 × 0!

M = 6! + 2× ( 4×3×2×1 ) + ( 4×3×2×1 )² - 7 × 6! ÷ 7 × 1

M = 6! + 2× ( 24 ) + ( 24 )² - 7 × 6! ÷ 7 × 1

$M=(3\times 2)!+2\times4!+(4!)^2-\dfrac{7!}{7\times0!}\\\\M=6!+2\times(4\times3\times2\times1)+(4\times3\times2\times1)^2-\dfrac{7\times6!}{7\times1}\\\\M=6!+2\times(24)+(24)^2-\dfrac{\not{7}^1\times6!}{\not{7}^1}\\\\M=\not{6!}^1+2\times(24)+(24)^2-\not{6!}^1\\\\M=48+576 = 624\\\\\boxed{M=\bf{624}}$

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