There are 15 people eligible to receive 4 different awards.  The awards are in the amounts of $50, $100, $200, and $300.  How many ways are there to distribute the awards if no person may receive more than one award? The number of ways is ??

Q: A street vendor sells six different kinds of fresh fruit: apples, bananas, oranges, pears, kiwis and…

A: Given that , a street vendor sells six different kinds of fresh fruits each worth $1. To find the…

Q: Twenty people decide to play softball. In how many ways can the 20 people be divided into 2 teams of…

A:

Q: ts, a

A: To find : Whether the clothing combination is of Asha is more or less when compared tp Rosa.

Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A:

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

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: How many ways are there to pick three dipping sauces, if you can pick three of the same?

A:

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: A boy owns 5 pairs of pants, 8 shirts, 7 ties, and 2 jackets. How many different outfits can he wear…

A:

Q: Laila must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

A:

Q: There

A: Please refer to the image below

Q: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

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

A:

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

A:

Q: in a physiology class, a student must dissect three different specimens. The student can select one…

A: This question can be solved using the concept of combination.

Q: In a college archaeology class, 78 students are going to a dig site to find and study artifacts. The…

A: We will find how many sections will be studied by a group of 2 students as following.

Q: Juan has three boxes—one red, one white, and one blue. He has 9 different objects. In how many ways…

A: Given,total no.of objects=9

Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: A restaurant has 20 items on their menu.  If you choose four different things to eat where the order…

A:

Q: Joe, Megan, and Santana are salespeople. Their sales manager has 18 accounts and must assign six…

A:

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

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: The number of ways a student can wear his 6 shirts, 4 pants, and 2 pairs of shoes

A: Student has to select one item out of each three categories (shirts, pants, shoes). One shirt out of…

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

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: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: The number of ways a student can wear his 6 shirts, 4 pants, and 2 shoes

A: Given : Number of shirts = 6 Number of pants = 4 Number of shoes = 2 = 1 pair

Q: How many different 2 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: GivenTotal no.of cards in a deck =52

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 family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A:

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: An ice cream shop has 15 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a…

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

Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: A bag contains 15 plastic eggs, each with a different prize. Trevor picks out 3 of the eggs. How…

A: Given that, Bag contains 15 plastic bags. Trevor picks out 3 of the eggs How many different sets…

Q: arah has 7 skirts, 6 blouses, and 4 pairs of shoes. How many different outfits can she wear to…

A: Sarah has 7 skirts, 6 blouses and 4 pairs of shoes. we have to find how many different outfits can…

Q: In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress…

A: Given Tops = 15 Bottom = 10 Shoes = 8

Q: In a running competition, a bronze, silver and gold medal must be given to the top three girls and…

A:

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: How many different 3 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: To find in how many ways 3 card hands can be drawn from a deck of cards: Order does not matter.…

Q: How many breakfast meals consisting of a fruit, a sandwich, and a drink are possible if one can…

A:

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: A teenager is given 5 different jobs that they must do before they may go out to a movie with…

A:

Q: There are 6 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

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: How many ways can 2 people sit in a row of 6 chairs? The number of ways 2 people can sit in a row of…

A:

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: How many different 6 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: There are total 52 cards, from these 6 cards to be dealt.

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.