At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entrée, a side dish, and a dessert. There are 4 choices for the entrée, 6 choices for the side dish, and 6 choices for dessert. How many different meal deals are possible?

Q: At​ Luigi's favorite Italian​ restaurant, the lunch special has a selection of 7​ appetizers, 4​…

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Q: A farmer notes that in a field full of horses and ducks there are 30 heads and 84 feet. How many of…

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Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: In the school cafeteria, students choose their lunch from 4 sandwiches, 3 soups, 3 salads, and 2…

A: Given, 4 sandwiches 3 soups 3 salads 2 drinks In the simplest way we multiply the available number…

Q: A restaurant offers a choice of 4 salads, 6 main courses, and 7 desserts. How many possible 3-…

A: Permutations and combinations , the various ways in which objects from a set may be selected,…

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

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Q: In a large garden consisting only of roses and tulips, $$76\%$$ of the roses and $$18\%$$ of the…

A: In a large garden consisting only of roses and tulips, 76% of the roses and 18% of the tulips are…

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

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Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: Juan has 4 ​ties, 6 ​shirts, and 6 pairs of pants. How many different outfits can he wear if he…

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Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: there are cows and hens in the farm. if there are total of 65 heads and 160 legs, how many cows are…

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Q: Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's…

A: There are 4 children’s movies, 7 comedies, 7 mysterious, and 5 horror movies.The total number of…

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: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

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Q: ally has 2 pairs of shoes, 4 pairs of pants, and 6 shirts. How many different outfits can she make…

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Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: he best sports dorm on campus, Lombardi House, has won a total of 11 games this semester. Some of…

A: The addition or subtraction method of solving systems of linear equations is used to eliminate a…

Q: At a restaurant you can choose from 3 appetizers, 8 entrees, and 2 desserts. How many different…

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

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Q: For a segment of a radio​ show, a disc jockey can play 7 records. If there are 11 records to select​…

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Q: A pianist plans to play 3 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Given, A pianist plans to play 3 pieces at a recital no. of ways to arrange these pieces in the…

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: A local sporting goods store is celebrating its grand opening by giving a free t-shirt to every 5th…

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Q: Sally has 2 pairs of shoes, 9 pairs of pants, and 8 shirts. How many different outfits can she make…

A: Sally can make, 2×9×8 = 144 different outfits.    The detailed solution is as follows below:

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: A boy owns 5 pairs of pants, 3 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: There are 5 pairs of pants 3 shirts 2 ties 2 jackets The boy must wear one of each item.

Q: at the billy restaurant, they have 13 soup, 6 appetizer, 8 salad, 23 entree, and 25 dessert options.…

A: We use combination to find unique course meals .

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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Q: At a deli counter, there are 7 sandwiches with meat and 6 vegetarian sandwiches. Deandre is at the…

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Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different outfits can he wear…

A: Solution

Q: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

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Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

Q: A college plays 12 football games during a season. In how many ways can the team end the season with…

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Q: A piggy bank contains P1, P5, and P10 totaling P100. There are 26 coins in all and there are 2 more…

A: Given ,  A piggy bank contains P1, P5, and P10 totaling P100 There are 26 coins in all and there are…

Q: In a construction company, there are three

A: Here the table below shows the required calculation for obtaining the coefficient of variation for…

Q: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: There are 21 animals on Farmer Cole's farm-all sheep and chickens. If the animals have a total of 56…

A: We can make it easier for you.

Q: A boy owns 7 pairs of pants, 1 shirts, 4 ties, and 7 jackets. How many different outfits can he wear…

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Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

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Q: . How many different 1-scoop ice cream cones can a customer order?

A: We have given that  Types of cones = 3 Number of flavours of ice-cream = 31

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different…

A: In this case arrangement matters.  So we will use the permutation method.  He has to pick 6 pieces…

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

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.