supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each coupon code will have one digit followed by four letters. The letters D and E and the digits 0 ,  5 , and 8 will not be used. So, there are 24 letters and 7 digits that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?

Q: In how many ways will Namjoon get a pair of polka dots?

A: here given, In Namjoon’s drawer, there are 7 identical pairs of purple socks that is 14 socks , 10…

Q: Adam, Bill and Carl had some trading cards. Bill had as many cards as Adam. 3 of his cards and Carl…

A: NOTE: Refresh your page if you can't see any equations. . let initially, Adam has x cards Bill has y…

Q: Suppose thirty-six students signed up for class orientation sessions. If exactly twenty-two of them…

A: Given that, there are 36 students signed up for class orientation session. Number of students signed…

Q: Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: According to question given thatDeck of 52 playing cards student win $14 for an ace, $10 for a king…

Q: Last year, Sam’s, Fran’s, and Toni’s combined income was $12,407 a month. Sam received a 12% raise…

A:

Q: Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: Given, a chance to draw a card from an ordinary deck of 52 playing cards and win $24 for an ace, $11…

Q: Farmer Joon must determine whether to plant corn or wheat. If he plants corn and the weather is…

A:

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.

A: We want to choose 3 letters and we have 4 letters A,B,C and D, we have to determine (a) How many…

Q: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed?

A: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed.

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

Q: man gives his dog one type of medication every 9 ​days, and a second type of medication every 6

A: First type of medication given to the dog for every 9 days . Second type of Medication given to the…

Q: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A:

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: If I have 2933 apple and I add 1 more apple how many do I have.

A:

Q: Suppose you play a game where you spin a spinner with areas of the colors on the spinner broken down…

A:

Q: Three men have been sentenced to long terms in prison, but due to over crowed conditions, one man…

A: For convenience sake, let the three men be P, Q, R, and let R be the man who deduced that his dot…

Q: Poker tournament rules state that 10% of those who pay the entry fee will finish in the money. If…

A: It is given that, according to poker tournament rules 10% of those who pay the entry fee will finish…

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The license plate of the car in the accident contains three…

Q: If the first chapter of a certain book is 30 pages long and makes up 10% of the book, how many pages…

A: Given that, the first chapter of a certain book is 30 pages long and makes up 10% of the book.

Q: On the table rest 8 dominoes, as shown below. If you were to line them up in a single row, so that…

A:

Q: f n ∈ n and n<2000 , how many numbers n have the property that the sum of the digits of n and the…

A: Given, if n∈ℕ and  n&lt;2000.

Q: cafeteria offers a complete dinner that includes one serving each of appetizer, soup, entrée, and…

A: First of all we will list the total different choices we have for each of the things

Q: box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch…

A: Given, Square base No top Volume= 48 cubic inches

Q: Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: Given that there is draw of card from an ordinary deck of 52 cards.…

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: For a segment of a radio show, a disc jockey can play 5 records. If there are 9 records to select…

A:

Q: If a plumber and a helper can install a water heater and a half in a half day, then how many water…

A: According to the given information it is required to find the number of water heaters that 20…

Q: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

A: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

Q: Using an ordinary deck of playing cards, Zia drew 10 cards one-at-a-time while returning the card…

A: Given information: Number of cards in an ordinary deck, N = 52 Zia drew n = 10 cards one-at-a-time…

Q: you are to form a 5-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.…

A: Given information- We have given the digits = 1, 2, 3, 4, 7, 8, 9 We have to form 5-digit number…

Q: Using polya's strategy, Suppose thirty-six (36) students signed up for classes during an orientation…

A:

Q: a) Construct the appropriate decision tree to help the farmer make the appropriate decisions. This…

A: Solution:

Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They…

A: Consider the given statement. We have to arranged from oldest to youngest. We have find the number…

Q: A pottery studio gives three- hour and four- hour ceramics classes for $49 an hour. If the studio…

A:

Q: movie club to which Lin belongs allows her to receive a free DVD for every three DVDs she rents.  If…

A: We will solve for the dvds.

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: In the Brady's Family, each girl has twice as many brothers as she has sisters. However, each boy…

A:

Q: If n∈N and n<2000 , how many numbers n have the property that the sum of the digits of n and the sum…

A:

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: A customer has paid a net amount of P21, 375 on all items he purchased in a store. If he was given a…

A: The objective is to find the selling price of the items he bought.

Q: A student needs eight more classes to graduate. If she has met the prerequisites for all the…

A: Given ,A student needs 8 more classes to graduate.

Q: The Shepard family--Jake, Jena, Jamie, and their mother--ordered two pizzas. Jake ate 2 3 of one…

A: Given, Number of pizzas ordered = 2 Jake ate = 23 of one pizza Jenna ate = 12 of a pizza Jamie ate =…

Q: If I go into an ice cream parlor, and I have the choice of having one of 10 different flavors, with…

A: Given information- No. of different flavors available at an ice cream parlor = 10 No. of different…

Q: A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens…

A: we have been given the information that  out of 50 eggs, only 45 are marketable

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.