The 2015 Ford Mustang Fastback is available in 5 models (V6, GT, etc.) with 10 choices of color, 2 choices of transmission, and 6 types of leather interior. How many different variations of this car does Ms. Thompson have to choose from when she is buying a car?

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: The Goal Line Gals has 35 members and the Baseball Babes has 28 members. At a joint meeting all…

A: Let's denote the set of members in the Goal Line Gals as G and the set of members in the Baseball…

Q: Mr. Remo is planning to buy a car from two stores. From the first store, there are 4 models, 4…

A: Here use counting principle

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: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

Q: This bag contains one fewer Lima bean than Red beans. There are six more Black beans than Lima…

A: Dear student, You posted the problem, but I think you forgot to mention the question. It's easily…

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: leah and andi are purchasing photo albums of their wedding pictures as thank you gifts for their…

A: Given data, No of album sizes=3 No of Cover options=5 Types of pages=2 No of possible unique photo…

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

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: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

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: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

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: On the final day of their class trip to Washington D.C. , Mr. Parke let’s his students choose what…

A: A fraction is a number in the form xy (where x and y are both integers and y ≠ 0). In the above…

Q: Each packet of washing powder carries a token and four tokens canbe exchanged for a free packet. How…

A: The problem is asking us to find out how many free packets of washing powder we can get if we buy 64…

Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

A:

Q: In a class of 6 girls and 5 boys, how many seating arrangements can be done

A: There are 6 girls and 5 boys in a class The seating arrangements type is  GBGBGBGBGBG So,  6!*5!…

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.