Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

QUESTION 11
A person purchasing a new car has several options: 6 interior color choices, 3 exterior color choices, 2 choices of radios, and 6 choices of
body styles. How many different cars are possible if one choice is made for each option?
60
17
216
208

Sagot :

musiclover10045

Total choices = quantity of each option x each other:

Total choices = 6 x 3 x 2 x 6 = 216

Answer: 216

abbusaicharan02

Total number of different cars possible when one choice is made for each option is 216.

Combination

The way of selecting a fixed entity out of the given options is known as Combination in mathematics.

The formula used for selecting is [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex] where n is the total number of options available and r is the fixed entity.

How to different possible combinations?

Ways of selecting 1 interior color is-

[tex]^6C_1=\dfrac{6!}{1!(6-1)!}\\=6[/tex]

Ways of selecting 1 exterior color is-

[tex]^3C_1=\dfrac{3!}{1!(3-1)!}\\=3[/tex]

Ways of selecting 1 radio color is-

[tex]^2C_1=\dfrac{2!}{1!(2-1)!}\\=2[/tex]

Ways of selecting 1 body style is-

[tex]^6C_1=\dfrac{6!}{1!(6-1)!}\\=6[/tex]

Hence, total number of different cars possible when one choice is made for each option is [tex]6\times 3\times 2\times 6=216[/tex].

Learn more about combinations here- https://brainly.com/question/12629775

#SPJ2

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.