Question

calcule
A)A6,2.
B)A4,3.
C) A8,4.
D)A5,3-A4,2
16

Answer 1

Sabemos que:

A(n;p) = n!/(n - p)!

Logo:

a)

A(6;2) = 6!/(6 - 2)!
A(6;2) = 6.5.4!/4!
A(6;2) = 6.5
A(6;2) = 30

b)

A(4:3) = 4!/(4 - 3)!
A(4;3) = 4!/1!
A(4;3) = 4.3.2
A(4;3) = 24

c)

A(8;4) = 8!/(8 - 4)!
A(8;4) = 8.7.6.5.4!/4!
A(8;4) = 8.7.6.5
A(8;4) = 1680

d)

A(5:3) - A(4:2)
5!/(5 - 3)! - 4!/(4 - 2)!
5!/2! - 4!/2!
(5! - 4!)/2
(120 - 24)/2
96/2 = 48