Question

ARRANJO
Escemplo

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

n = Maior Número
p = Menor Número

A 5, 2 = 5! / (5-2)!
A 5, 2 = 5.4.3! / 3!
A 5, 2 = 5.4
A 5, 2 = 20

COMBINAÇÃO
Escemplo

C n, p = n / p!(n-p)

n = Maior Número
p = Menor Número

C 6, 2 = 6! / 2! (6-2)
C 6, 2 = 6! / 2! 4!
C 6, 2 = 6.5.4! / 2! 4!
C 6, 2 = 30 / 2
C 6, 2 = 15

EXERCÍCIOS ⬇️

ARRANJO

A) A 4, 2 =
B) A 5, 2 =
C) A 6, 4 =
D) A 8, 2 =
E) A 5, 2 =

COMBINAÇÃO

A) C 4, 2 =
B) C 5, 2 =
C) C 6, 4 =
D) C 8, 2 =
E) C 5, 3 =​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{A_{n,p} = \dfrac{n!}{(n - p)!}}$

$\mathsf{a)\:A_{4,2} = \dfrac{4!}{(4 - 2)!} = \dfrac{4.3.\not2!}{\not2!}} = 12}$

$\mathsf{b)\:A_{5,2} = \dfrac{5!}{(5 - 2)!} = \dfrac{5.4.\not3!}{\not3!}} = 20}$

$\mathsf{c)\:A_{6,4} = \dfrac{6!}{(6 - 4)!} = \dfrac{6.5.4.3.\not2!}{\not2!}} = 360}$

$\mathsf{d)\:A_{8,2} = \dfrac{8!}{(8 - 2)!} = \dfrac{8.7.\not6!}{\not6!}} = 56}$

$\mathsf{e)\:A_{5,2} = \dfrac{5!}{(5 - 2)!} = \dfrac{5.4.\not3!}{\not3!}} = 20}$

$\mathsf{C_{n,p} = \dfrac{n!}{p!.(n - p)!}}$

$\mathsf{a)\:C_{4,2} = \dfrac{4!}{2!.(4 - 2)!} = \dfrac{4.3.\not2!}{2!.\not2!} = 6}$

$\mathsf{b)\:C_{5,2} = \dfrac{5!}{2!.(5 - 2)!} = \dfrac{5.4.\not3!}{2!.\not3!} = 10}$

$\mathsf{c)\:C_{6,4} = \dfrac{6!}{4!.(6 - 4)!} = \dfrac{6.5.\not4!}{\not4!.2!} = 15}$

$\mathsf{d)\:C_{8,2} = \dfrac{8!}{2!.(8 - 2)!} = \dfrac{8.7.\not6!}{2!.\not6!} = 28}$

$\mathsf{e)\:C_{5,3} = \dfrac{5!}{3!.(5 - 3)!} = \dfrac{5.4.\not3!}{\not3!.2!} = 10}$