Question

assunto: fatorial e arranjo. calcule: a) 7 ! , b) 3 ! . 2 ! , c) 4 ! - 2 ! , d) (3 ! - 0 ! ) sobre 3 ! 2 !

Answer 1

a) 7 !  
7×6×5×4×3×2×1 = 5040

b) 3 ! . 2 !
(3×2×1) × (2×1)
6 ×2 = 12

c) 4 ! - 2 !  
(4×3×2×1) - (2×1)
24 - 2 = 22

d) (3 ! - 0 ! ) sobre 3 ! 2 !
$\frac{3! - 0! }{3! * 2!}$
$\frac{ (3*2*1) - 0! }{ (3*2*1) * (2*1) }$
$\frac{6}{6*2}$
$\frac{1}{2}$