A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice cream flavors and 4 different toppings, how many different ways are there to place your order?

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

A:

Q: Pizza House offers 5 different salads, 5 different kinds of pizza, and 6 different desserts. How…

A: From the provided information, Pizza house offers 5 different salads, 5 different kinds of pizza and…

Q: Pizza House offers 2 different salads, 7 different kinds of pizza, and 4 different desserts. How…

A: Given :  Pizza House offers 2 different salads, 7 different kinds of pizza, and 4 different…

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: For the grooms men, we had outfits picked out. We had 3 different dress shirts, 3 different styles…

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

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

A:

Q: A coat hanger has 4 knobs. If you have 6 different colors of paint available, how many different…

A: Given : A coat hanger has 4 knobs. Each knob can be painted any color(different) . We have 6…

Q: A boy owns 7 pairs of pants, 6 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: We  use rule of multiplication, to find the solution

Q: To create and mix a salad, you have 14 different ingredients to choose from.  You will mix the…

A:

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

A:

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: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: Pizza House offers 2 different salads, 5 different kinds of pizza, and 4 different desserts. How…

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

A:

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

A:

Q: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: Pizza House offers 2 different salads, 5 different kinds of pizza, and 3 different desserts. How…

A: From the provided information, Pizza house offers 2 different salads, 5 different kinds of pizza and…

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

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: 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 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: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 5 different desserts. How…

A: A 3-course meal has to have 1 salad, 1 pizza and 1 dessert. We have 2 choices for salad We have 2…

Q: An ice cream shop offers 12 different flavours, 8 different kinds of sauce, and 6 toppings. How many…

A: Ways of choosing three ice creams from 12 is  C312 = 12×11×103×2= 2×11×10= 220   Ways of choosing…

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

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Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

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: A restaurant offers 8 entrees and 9 desserts. In how many ways can a person order a two-course meal?

A: We can find the answer as below.

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

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: In a house of 10 people, how many ways can a squad of 4 people be arranged?

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

Q: A boy owns 4 pairs of pants, 8 shirts, 2 ties, and 8 jackets. How many different outfits can he wear…

A: Given, Pairs of pants= 4 No of shirts= 8 No of ties= 2 No of jackets=8   Possible combinations=?

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

A:

Q: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served in 3…

A: Given info: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served…

Q: The number of ways in which 2 cards can be chosen or selected from a total of 6 cards equals:

A: We are asked to find the number of ways of selecting 2 cards from 6 cards

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: Quest Pizza House offers 4 different salads, 5 different kinds of pizza, and 4 different desserts.…

A: Different three course meals can be ordered, as follows: Choose 1 salad from 4 different salads in…

Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

A:

Q: As a television executive, you have been given 19 shows to choose from to run during your prime time…

A:

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

A:

Q: A restaurant offers a choice of 4 salads, 13 main courses, and 6 desserts. How many possible…

A: Permutation and Combination: The different methods in which objects from a set could well be…

Q: A sports store sells tennis racquets of six different prands: Wilson, Prince, Babolat, Dunlop, Yonex…

A: There are 6 brands we need to select 4 brands Out of the 4 brands Wilson or Prince should always be…

Q: A boy owns 1 pairs of pants, 2 shirts, 8 ties, and 6 jackets. How many different outfits can he wear…

A: Given that Number of pairs of pants a boy owns=1 Number of shirts=2 Number of ties=8 Number of…

Q: Starting from Washington, DC, how many ways can you visit 5 of the 50 state capitals and return to…

A: We need to find no of ways we choose 5 states from 50 countries.

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.