Question

determine o valor dos arranjos e combinacoes abaixo:

a)A 6,3

b)A 10,4

c)C 8,3

d)C 10,6

e)C 9,4

Answer 1

a)A 6,3 = 6. 5. 4 = 120

b)A 10,4 = 10.9.8 7 = 5040

c)C 8,3 = 8.7.6/3! = 8.7 .6/6 = 56

d)C 10,6 = C 10,4 = 10.9.8.7/4! = 5040/24=210

e)C 9,4 = 9.8.7.6/4! = 3024/24 = 126

Answer 2

Resposta:

a)A6,3=6!/(6-3)!

A6,3=6!/3!

A6,3=6*5*4*3!/3!

A6,3=120

--------------------------

b) A10,4=10!(10-4)!

A10,4=10!/6!

A10,4=10*9*8*7*6!/6!

A10,4= 5040

----------------------------

c) C8,3=10!/3!(8-3)!

C8,3=10!/3!5!

C8,3=10*9*8*7*6*5!/3!5!

C8,3=10*9*8*7*6/3!

C8,3=10*9*8*7*6/2*3*1

C8,3=10*9*8*7*6/6

C8,3=10*9*8*7=5040

--------------------------------

d) C10,6=10!/6!(10-6)!

C10,6=10!/6!4!

C10,6=10*9*8*7*6!/6!4!

C10,6=10*9*8*7/4*3*2*1

C10,6=5*3*4*7=420

---------------------------

e) C9,4=9!/(9-4)!

    C9,4=9!/4!(9-4)!

    C9,4=9*8*7*6*5!/4!5!

    C9,4=9*8*7*6/4*3*2*1

    C9,4=3*2*7*3=126

Explicação passo-a-passo: