halvan102 halvan102
  • 07-03-2019
  • Mathematics
contestada

A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?

Respuesta :

DizzyBerco
DizzyBerco DizzyBerco
  • 16-03-2019

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

[tex]_{n}P_{k}=\dfrac{n!}{(n-k)!}[/tex]

n = 4

k = 3

[tex]_{n}P_{k}=\dfrac{4!}{(4-3)!}[/tex]

[tex]_{n}P_{k}=\dfrac{4!}{1!}[/tex]

[tex]_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}[/tex]

[tex]_{n}P_{k}=\dfrac{4*3*2*1!}{1}[/tex]

[tex]_{n}P_{k}=\dfrac{24}{1}[/tex]

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