eight cars are in a race. there will be first place, second place and third place winners. assuming no ties, how many possible results are there for this race?

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: In a race in which eleven automobiles are entered and there are no ties, in how many ways can the…

A:

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

A:

Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: From 30 interested people, how many ways to register 5 teams of 4 for a contest (the remaining 10 do…

A: Given: 30 people 5 teams of 4 10 do not participate.

Q: If there are 9 candidates in an election, how many pairwise comparisons need to be made in order to…

A: So first we will do 4 comparisons and eliminate 4 candidates. Then we will left with 5 candidates.…

Q: Thirteen people are entered in a race. If there are no ties, in how many ways can the first three…

A:

Q: In a race in which eight automobiles are entered and there are no ties, in how many ways can the…

A: We have to find nom of ways to comes up first three positions.

Q: There are 16 horses competing in a show. In how many ways can the blue, red, and yellow ribbons be…

A:

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: In a lottery game, a player picks 9 numbers from 1 to 49. How many different choices does the player…

A: From the provided information, A player picks 9 number from 1 to 49. Total number = 49

Q: in a qualifying race for a road cycling event, 15 men competed for five slots.How many different…

A: Given The total number of men (competed)=15 The number of slots=5 Apply permutation formula…

Q: A track and field event has eight entries.  Assuming that there are no ties, how many different…

A: It is given that, A track and field event has eight entries. And We are assuming that there is no…

Q: In a lottery game, a player picks 9 numbers from 1 to 49. How many different choices does the player…

A: In a lottery game, a player picks 9 numbers from 1 to 49. That is, the total numbers is 49 and…

Q: Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: There are 19 horses competing in a show. In how many ways can the blue, red, and yellow ribbons be…

A:

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: In a race of 24 people, the top 8 are awarded different amounts of prize money, with first receiving…

A: Permutation: The number of different arrangements of ‘r’ elements (order matters) from a set of ‘n’…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: Nine runners are entered in a 100 meter dash for which a gold, silver , and bronze medal will be…

A: Given that the number of runners in the 100 meter dash is 9. The runner finishing in the first place…

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: A doughnut shop has a special on its mix n match selection, which allows customers to select three…

A: Given: A doughnut shop has a special on its mix n match selection. Varieties of doughnuts: plain…

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: Solution: From the given information, the number of films entered is 40 and a team of judges is to…

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.)

A: Given that number of runners is 6 The place that race completion has=6 places Since, from 1st place…

Q: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: In a race in which ten automobiles are entered and there are no ties, in how many ways can the first…

A:

Q: How many different ways can a race with 8 runners be completed? (Assume there is no tie)

A: There are 8 runners in the race and there is no tie. If two events E1 and E2 occur in order and E1…

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: In a horse race, how many different finishes among the first 3 places are possible if 18 horses are…

A: here given, Total 18 horse running we need different finish among top 3 . so here order is imporant.…

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

Q: A college survey was taken to determine where students study. Of 140 students s cafeteria, 76…

A:

Q: How many different ways can a race with 9 runners be completed? (Assume there is no tie.)

A: There are 9 runners who can come in first so there are 9 possibilities  For the second place there…

Q: Suppose a lawyer select 4 jurors from the set of 6 candidates? How many groups are possible?

A: From the provided information, The total candidates = 6 The lawyer selects 4 jurors from 6.

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: The total number of films  =40  the number of ways to give first prize  is    =40 the number of ways…

Q: there are 15 horses in a race, how many possibilities are there for the win, place, and show (first,…

A:

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

A:

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: 14 people try out for a basketball team, how many different ways are there to select 5 players if…

A: Given information: Total number of people who try out for a basketball team(n)=14. Number of…

Q: There are 12 teams in a league. In how many ways can the teams finish first, second, third, and…

A: A permutation is a mathematical tool that helps us to find the number of possible arrangements in a…

Q: The five finalists in the Miss Universe contest are MissArgentina, Miss Belgium, Miss U.S.A., Miss…

A: According to rule of combination the number of ways to select r elements out of n distinct elements…

Q: How many different ways can a race with 7 runners be completed? (Assume there is no tie.)

A: The number of runners in the race is 7. Assume that there is no tie. Then, the 7 runners will finish…

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.