contestada

Concert T-shirts are available in a variety of sizes and styles, as outlined in the table.

Shirt Options
Sleeve Length
Size
Color
Artwork on Shirt
Short
S
Black
Band Name in Font 1
Long
M
Gray
Band Name in Font 2

L
White
Photo of Band Members

XL
Navy Blue
Cartoon of Band Members

How many different sleeve/size/color/artwork combinations are possible?

Respuesta :

Using the Fundamental Counting Theorem, it is found that 128 different combinations are possible.

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:

  • There are two options for the sleeve length, hence [tex]n_1 = 2[/tex].
  • There are four options for the size, hence [tex]n_2 = 4[/tex].
  • There are four options for the color, hence [tex]n_3 = 4[/tex].
  • There are four options for the artwork, hence [tex]n_4 = 4[/tex].

Thus, the number of combinations is given by:

N = 2 x 4 x 4 x 4 = 128.

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

#SPJ1

Otras preguntas