Menus   The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are three appetizers, two soups, three main courses, and three desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Q: Nora, Torvald, and Henrik are using Lone Chooser to divide a large lot of collectible doll houses.…

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Q: Kathie is purchasing cookies to make a dessert tray for her club's spring banquet. She has a price…

A: Number of dozens bought Price per Dozen Cookie Price x 3 Oatmeal Raisin 3x y 4 Iced Sugar 4y

Q: You plan to open a fudge shop.  You will plan to start with three types of signature fudge.  The…

A: step:-1 Let numbers of first type, second type and third type fudge are x, y, z respectively. Given…

Q: In which city should the salesperson from Chicago be flown to if the minimum total airfare must be…

A: It seems 2nd image is partial. We answer accordingly.

Q: Example 2.2: A department has 30 professors. Four need to be selected for a committee. The committee…

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Q: Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires…

A: Given: Possible make in 15 minutes

Q: Bob lives in Poughkeepsie, NY. Bob's favorite activity is watching professional baseball. One ticket…

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Q: Camp Rainbow offers overnight summer camp programs for children ages 10 to 14 every summer during…

A: The given data is as follows: WeekNumber of CampersCost to Run…

Q: Question 3 At the restaurant i 23 , they have 6 appetizer and 12 entree options. How many unique…

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Q: Dishwashers Dan’s Diner employs three dishwashers. Alwashes 40% of the dishes and breaks only 1% of…

A: Let A represent person Al, B represent Betty and C represent Chuck. Also, D denotes that dish was…

Q: John and Julia work at a zoo and have to carry food to the tiger cages. Each trip John carries 40…

A: Let x be the number of trips that John took. and y be the number of trips that Julia took.Now since…

Q: A teacher wants to buy supplies for two of their students, Susie and John. This teacher wants to…

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Q: Instruction: Illustrate and determine the number of combinations. Choosing a variant for lunch with…

A: Since one out of vegetable dish from the available 3 dishes, i.e., pinakbet, mixed vegetable, and…

Q: Example 1 Kevin would like to buy 10 bouquets. The standard bouquet costs $7, and the deluxe bouquet…

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Q: Lashonda, Hong, and Bob served a total of  80  orders Monday at the school cafeteria. Bob served…

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Q: After the winter holidays, store managers at two different stores, Store I and Store 2, sell the…

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Q: Al and Joe are two county sheriffs deputies assigned to watch for traffic violations. Their arrest…

A: Solution: From the given information,

Q: Thailand New York Holidays I need some help to book my summer holiday. Package Holiday Package…

A: The given problem is about the cost estimation of a holiday package. It has 4 holiday packages of…

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

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Q: to reduce the potential for damp/mould issues. The weather throughout n out to be mostly dry,…

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Q: Challenge In a bag of marbles there are 4 blue​ marbles, 4 red​ marbles, and 5 green marbles. You…

A: Given that there are  4 blue​ marbles, 4 red​ marbles, and 5 green marbles.Assuming that the marbles…

Q: 1) What is the probability that the person wins a prize? P(prize) 2) What is the probability that…

A: Let's assume that number of solid, polka dots and striped balloons as below.  Total number of…

Q: An airline has 30 airplanes in Los Angeles, 24 airplanes in St. Louis, and 8 airplanes in Dallas.…

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Q: A chef is trying to make a delicious extraordinary hamburger. He needs to choose 1 4. item from each…

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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.