Determine the total number of outcomes for each (Answer all) a. Grace loves to eat salad! How many salads can she put together if she can choose one from each of the following: two types of lettuce, 4 types of vegetables and 7 types of dressing? b. The local pizzeria offers a choice of 2 pizzas - supreme or vegetarian, 3 sides - chips, salad or coleslaw, and 4 drinks - juice, coke, ginger beer or water. For dinner I decide to have 1 pizza, 1 side, and 1 drink. c. How many different car number plates can be made if each is to display 3 letters followed by 3 numbers?

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

A:

Q: A fan of country music plans to make a custom CD with 13 of her 27 favorite songs. How many…

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Q: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. How…

A: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. To…

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

A:

Q: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

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Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many…

A: There are 8 possible runners who could win the gold medal in the first-place finish. After the gold…

Q: You are at a build-your-own pasta joint. You can choose exactly one shape, sauce, cheese and meat…

A: Given   Options Shape Elbows, Rigatoni, Penne, Ziti, Spaghetti Sauce Alfredo, Red, Spicy red…

Q: A value meal package at Ron's subs consist of a drink, a sandwich, and a bag of chips. There are…

A: Types of drinks=5Types of sandwich=4Types of chips=2

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

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

A:

Q: Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of…

A: Let Charge of One shirt = x Let Charge of one pair of slacks = y Let Charge of one sports coat = z…

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

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: Jack Frosty is preparing himself for another potential snowstorm by setting out all of his warmest…

A: given  2 pairs of boots 3 winter hats 3 pairs of gloves 4 jackets He has 2C1*3C1*3C1*4C1 outfit…

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: To select a stir-fry dish, a restaurant customer must select a type of rice, protein, and sauce.…

A: From the provided information, The restaurant offers two types of rices, three proteins and seven…

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

A:

Q: To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of…

A: Number of ways to choose a size = 3 Number of ways to choose a type of espresso = 10 Number of ways…

Q: Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of…

A:

Q: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.

Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

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A:

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: To select a stir-fry dish, a restaurant customer must select a type of rice, protein, and sauce.…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: At Mr. T's Delicate Donut Shoppe there are 5 flavors of donuts on the dollar menu. You have 35…

A:

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 ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: Alfred is opening a new office and needs to decorate and furnish it. He has 3 sources for wallpaper,…

A:

Q: A party room has a circular table with 12 seats. A group of 4 people enter the room. How many…

A: In a circular table with n seats,  there are (n-1)! ways ofoccupying the seats

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.