A certain car dealership sells two models of cars: Model S and Model V.  Model S comes in 8 different colors and has 4 types of wheels available.  Model V comes in 4 different colors and has 2 types of wheels available.  How many different ways could you choose a single car from this dealership?

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: There are 32 teams attending the World Football Cup in Qatar. How many ways the championship team,…

A:

Q: A car manufacturer allows you to customize and order vehicles on their website. When customizing…

A: Given: There are 2 different sizes of the engine, 2 different types of transmission, 8 different…

Q: A grocery store has 4 brands of crackers and 8 different varieties of cheese. How many ways can Josh…

A:

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

A:

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 2…

A: The objective of this question is to find out the number of ways to choose 2 jobs out of 4. This is…

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: A restaurant offers a​ $12 dinner special that has 4 choices for an​ appetizer, 12 choices for an​…

A: The problem is asking us to find the total number of different meals that can be made from the given…

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

A:

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: A restaurant offers a dinner special that lets you choose from 8 entrees, 7 side dishes, and 5…

A:

Q: DJ Jacqueline is making a playlist for a website; she is trying to decide what 10 songs to play and…

A: Consider the provided question, DJ Jacqueline is decide to play 10 songs. her choices narrowed down…

Q: The California license plate has one number followed by three letters followed by three numbers. How…

A: GivenCalifornia license plate has one number followed by three letters followedby three numbers…

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

A:

Q: A restart offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entree,…

A: We have given that for dinner special the number of choices for appetizer 5, for entree 12 and for…

Q: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: Sally has 2 pairs of shoes, 9 pairs of pants, and 8 shirts. How many different outfits can she make…

A: Sally can make, 2×9×8 = 144 different outfits.    The detailed solution is as follows below:

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

A:

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.