A family with 9 members sit in a round table for dinner. How many ways can the member of the family be seated?

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: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

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

Q: A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without​ looking, how many…

A: Given: There are total 4 oranges, thus it is not possible to get 5 oranges.

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

A: The total number of ways in which n different items can be arranged, is given by n! where n! can be…

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: At a dance, there are 20 girls and 20 boys. How many ways are there to form 20 pairs? How many if…

A: We have to use combinations to answer this problem.

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

A:

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: A dog shelter is giving away 16 different dogs, but you have room for only 4 of them.  How many…

A: Given, Number of different dogs given by shelter =16 There is exactly 1 room that can accommodates…

Q: How many 4 card hands are possible with a 48-card deck? The number of 4 card hands is

A: Possible number or 4 card hands with a 48-card deck is

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: A raffle is has four prizes: $500, $250, $100 and $50. If 100 people enter the raffle, in how many…

A: A raffle has four prizes, such that, $500, $250, $100 and $50.

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

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: How many ways can 9 runners finish a race?

A:

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: How many 3 card hands are possible with a 28​-card deck? The number of 3 card hands is ___

A: Total cards = 28

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: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

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: A restart offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entree,…

A: We have given that for dinner special the number of choices for appetizer 5, for entree 12 and for…

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

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: A park bench can seat 3 people. How many seating arrangements are possible if 3 people out of a…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A softball league has twelve teams. If every team must play every other team once in the first round…

A: Topic: Permutations and combination

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

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: 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 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: A business has 26 applicants for a job. How many ways can they pick 7 of the applicants to…

A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a…

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 grocery store Sells 18 flavors of pudding. If they select 5 different flavors, how many Selections…

A: The total number of flavors is 18.

Q: How many ways can 3 baseball players and 2 basketball players be selected from 9 baseball players…

A:

Q: The number of ways a team of 2 players can be chosen out of 6 players is ______________

A: given a team of 2 players can be chosen out of 6 players and we have to find the numbers of ways…

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

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 book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A: