contestada

Instruction. Read the situation below and answer the following questions.
You have noticed that because of the pandemic, cycling became popular again
as it became one of the means of transportation for many especially those who
lost their jobs and it became a hobby for some. You became a fan of cycling due
to its influence, so you decided to build your own Mountain bike. You have many
choices to make. First, you must choose the color of your bike from 4 colors (red,
blue, orange, black), second is the seat either normal or with extra cushion and
the last is the handlebar if you want to have a straight one or a curve.
Using the fundamental counting principle, count the number of choices you have
in building your mountain bike?

Respuesta :

Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

  • For the color, there are 4 outcomes, hence [tex]n_1 = 4[/tex].
  • For the seat, there are 2 outcomes, hence [tex]n_2 = 2[/tex].
  • For the handebar, there are 2 outcomes, hence [tex]n_3 = 2[/tex].

Thus, the total number of choices is given by:

N = 4 x 2 x 2 = 16.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866