A brand of jeans comes in nine different washes, five different fit styles, and three different height options. If two of the wash options are out of stock, how many ways can someone order a single pair of jeans?

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: A pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base. How many…

A: Given that Pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base.

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

Q: A fast-food restaurant compiled the following information regarding its employees. 20 cooked or…

A: There 20 cooked or worked the drive-through window, 10 cooked only, and 6 worked drive-through…

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: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

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

A:

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: A pizza parlor offers 66 different toppings. How many different personal-sized pizzas can be made…

A: 66 different toppings.   no. of different personal-sized pizzas can be made with exactly one…

Q: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: Colin has 9 cd’s in his carrying case – two John Tesh, three Michael Jackson, and four Beatles. How…

A: Given: Number of cds = 9 Number of John Tesh cds = 2 Number of Michael Jackson = 3 Number of Beatles…

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

A:

Q: Jay has 14 stat books. In how many different ways can he arrange 4 of them on a bookshelf?

A: Permutation is defined as an arrangement of objects in a definite order. The members or elements of…

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

A:

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: The popular Racer Scooter comes in a variety of colorswith lots of options. The customer can choose…

A: Wheel colors = 4 Size = 3 With/without shocks type = 2 With/without wheel =2 With/without foam…

Q: At Baskin Robbins customers may choose from 32 flavors of ice cream, 7 toppings, and 4 different…

A: We know the formula for combinations is                                 nCr= n!r!(n-r)! Given, at…

Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

A:

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: In a survey of restaurant customers, 63 customers ordered french fries or a salad, 38 ordered french…

A: Given that In a survey of restaurant customers, 63 customers ordered french fries or a salad, 38…

Q: You are using a local home remodeling company to remodel your kitchen. They have 1515 different…

A: It is given that  Cabinet door style = 15 Countertop choices = 8 Types of flooring = 19

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: There are 12 different books in a bag. In how many ways can we take 4 books from the bag and stack…

A: From the provided information, There are 12 different books in a bag and 4 books taken from bag.

Q: t the Harris Burger Bar each customer designs their own burger by choosing: one from two types of…

A: Solution: Given information: The customers designs their own burger by choosing: one from two types…

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.