How many different ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and 3rd place horse)

Q: A researcher wishes her patients to try a new medicine for depression. How many different ways can…

A: Given: There are 47 patients. We use combination to find how many ways researcher can select 5…

Q: The model of your car you are thinking of buying is available in nine different colors and three…

A: It is given that, for the model of a car, there are 9 different colours and 3 different styles…

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

A:

Q: How many different ways can seven people sit in a row in the last four seats at the concert?( the…

A: There is total 7 people and four seats.

Q: A restaurant offers a $12 dinner special that has 5 choices for an appetizer, 13 choices for an…

A:

Q: 2 students is to be chosen from a 32-member class to represent the class on the student council. How…

A: Permutation: The procedures of permutation and combination are used to count the number of…

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: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

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

Q: there are 50 runners in a race. how many ways can the runners finish first, second, and third?…

A: given  there are 50 runners in a race. how many ways can the runners finish first, second, and third…

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: 3. At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop…

A: Answer - At Wingstop,  customers ordering a family meal can choose 4 different wing flavors.…

Q: Seven diplomats from different countries enter a circular room. The only furnishings are seven…

A: Given,Total no.of chairs=7

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: . How many ways can 3 oranges be chosen from a fruit bowl that contains 11 oranges?

A: We are asked to find the number of ways to choose 3 oranges from 11 oranges

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: 2 balls of different…

A: Given data, Number of red balls=6 Number of white balls=4 In how many ways can one draw 2 balls of…

Q: How many ways are there to have one puppy out of the four with pointy ears? 1 3. 4

A: Given that, an ultrasound  reveals that Statspoodle will have four puppies. we need to know how many…

Q: How many ways can all the letters in the word EDUCATION can be arranged if all the vowels are right…

A:

Q: There are 8 teams in the Metropolitan Division in the NHL's Eastern Conference. How many ways can…

A: Given , Number of teams=8 Number of ways can the team finish first = 8Number of ways can the team…

Q: How many ways can a person invite 3 friends out of 6 friends for dinner

A: Here use combination

Q: Mrs. Welch and her 7 children are shopping at a local grocery store. Each of the children will be…

A: Mr Welch and her children are shopping at a local grocery store.each of the children will be allowed…

Q: How many ways can the 7 flowers be chosen?

A: We have given that  Total number of flowers = 18

Q: Five Grade 10 students are seated around a circular table while dining in a restaurant. In how many…

A: We know  Total number of permutations of n objects in circular pattern is (n-1)!

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: The Queen has 6 gold necklaces and 9 gold rings. A special box can fit 7 jewelries. How many ways…

A: nCr=n!/r!(n-r)!

Q: You need to arrange four of your favorite books along a small shelf. How many different ways can you…

A: Given that Number of favourite books have to arrange in a small shelf=4 To find Total number of…

Q: How many different ways can a visiting nurse visit  9  patients if she wants to visit them all in…

A: number of patients n=9   Different number of ways that n different items can be arranged is n!…

Q: How many ways can 11 DVDs be arranged on a shelf?

A: Given Number of ways can 11 DVDs be arranged on a shelf.

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

A:

Q: A catering service offers 4 appetizers, 11 main courses, and 9 desserts. A customer is to select 2…

A: It is given that Number of appetizers = 4 Number of main courses = 11 Number of desserts = 9

Q: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

A: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

Q: A box contains 7 different marbles. In how many ways can you select 5 marbles for you to play with…

A: A box contains 7 different marbles. in how many ways can you select 5 marbles for you to play with…

Q: five singers are to perform on a weekend evening at a night club. how many different ways are there…

A: The number of ways is there to schedule their appearances is,

Q: How many ways can you arrange OCONTO  if N and T aren't side-by-side?

A: Here given, Word  OCONTO   There are total 6 letters and 3 times O repeated

Q: How many ways can the letters of the word MAILBOX be arranged in a row?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: 8) For a segment of a radio show, a disc jockey can play 6 songs. If there are 12 songs to select…

A:

Q: How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and…

A: Total number of available appetizers = 6Number of appetizers to be selected = 3Total number of…

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: how many ways can a student wear his 6 shirts, 4 pants and 2 shoes

A: There are 6 shirts, 4 pairs of pants and 2 pairs of shoes for the student.   To find: In how many…

Q: Martha invited 4 friends to go with her to the movies. There are 120 different ways in which they…

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

Q: 21. There are 12 standbys who hope to get on a flight to Hawaii, but only 6 seats are available. How…

A:

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients…

A: The number of ways that the doctor can visit 8 patients during the morning rounds is,The number of…

Q: Seven elementary students are selected to give a 3-minute presentation on what they did during…

A:

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

A:

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: It is given that there are 19 members on the board of directors and must select three members.

Q: A restaurant offers a $12 dinner special that has 7 choices for an appetizer, 12 choices for an…

A: According to fundamental counting principal it is known that, if the first event occurs in m ways,…

Q: How many ways are there to seat 6 different boys and 6 different girls along one side of a long…

A: Given that, there are 12 persons and 12 seats. 12 persons includes 6 boys and 6 girls. Therefore,…

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.