Using permutations and combonations:  A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and hazelnut croissants. How many ways are there to choose: a) one dozen croissants? b) one dozen croissants with at least one of each kind? c) one dozen croissants with 2 plain, 1 cherry and at least 2 chocolate?

Q: When ordering a certain type of computer, there are four choices of hard dnve, five choices for the…

A:

Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

A:

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: 5. How many positive integers between 50 and 100 a) are divisible by 7? Which integers are these? b)…

A:

Q: n a stock room of a car dealership, there are 4 red, 2 white, and 3 blue flags. There are three flag…

A: Given that there are a total of 9 flags with 4 red, 2 white, and 3 blue flags

Q: When ordering a certain type of computer, there are four choices of hard drive, three choices for…

A: Number of choices for hard drive = 4Number of choices for memory = 3Number of choices for video card…

Q: A park bench can seat 3 people. How many seating arrangements are possible if 3 people out of a…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different…

A: According to the given information, we haveA team of 22 soccer players needs to choose 3 players to…

Q: Kira must choose a size, a flavor of ice cream, and a topping for her ice cream dessert. There are…

A: two sizes three flavors two toppings tree diagram:

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: f) Make a burrito order with the following options: filling: steak, chicken, carnitas, tofu, bean…

A: Required steps are shown below

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: It is given that Total number of cookies n = 6 Number of cookies to be selected r = 4

Q: You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many…

A: We need to find out the number of ways for the following.

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

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.