Question

acho que é Arranjo simples me ajudem a responder por favor!! dou 30 pontos

1- Calcule:

a) A 12,3

b A4,2+A6,5

Answer 1

                 12!            12.11.10.9!
A12,3 = -----------  = ----------------   = cancelo os 9! fica = 12.11.10 = 1320
              (12 - 3)!             9! 
============================================

A4,2 + A 6,5
=============
    4!                6!
------------ + ------------
(4 - 2)!         (6 - 5)!
=================
4.3.2!     6.5.4.3.2.1!
--------  + ---------------
    2!              1!
=================
4 . 3 + 6 .5 . 4 . 3 . 2 = 
12 +  720 = 732
==============================

Answer 2

Boa noite!

a) A(12,3)

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

A(12,3)=12!/(12-3)!

A(12,3)=12!/9!

A(12,3)=12×11×10×9!/9!

A(12,3)= 12×11×10 = 1320

______________________

b) A(4,2)+A(6,5)

A(4,2)

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

A(4,2)=4!/(4-2)!

A(4,2)=4!/2!

A(4,2)=4×3×2!/2!

A(4,2)=4×3 = 12

______________

A(6,5)

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

A(6,5)=6!/(6-5)!

A(6,5)=6!/1!

A(6,5)= 6×5×4×3×2×1!/1!

A(6,5)= 6×5×4×3×2 = 720

______________

A(4,2)+A(6,5) → 12+720 = 732 ← Resposta

______________

Att;Guilherme Lima