6. In the Camarillo Air Race eight planes are entered and there are no ties, in how many ways can the first three finishers come in (there is a first place, second place, and third place)?

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

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

A:

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

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: 1. In how many ways can the 10 candidates in the Ms. Universe win the Ms. Universe title, First…

A:

Q: 3. In how many ways can a team of six be chosen from 20 players so as to (a) include both the…

A:

Q: 2. Ten students are in a race. First, second, and third places will win medals. In how many ways can…

A:

Q: If 15 people won prizes in the PCSO lottery (assuming that there are no ties), how many ways can…

A: Solution: From the given information, there are 15 people.

Q: In how many ways can a committee of five men and four women be formed from a group of six men and…

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

Q: 9. In how many ways can a committee of 5 persons be chosen from 7 ladies and 9 men if there is no…

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

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

A: Total number of ways that the first three finishers will come in are

Q: In how many ways can first, second, and third prizes be awarded in a contest with 110 contestants?…

A:

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: 11) A board of directors needs to assign a chair, vice chair, treasurer, secretary and…

A:

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

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

A:

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

A: This question can be solved using the concept of fundamental principle of multiplication.

Q: 1: In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18…

A: As per our guidelines we can answer only one question. please repost other seperately.

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

A:

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: 2. A club has seven members. Three are to be chosen as a group to a national meeting. A) How many…

A:

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…

A:

Q: Ten horses are entered in a race. If the possibility of a tie for any place is ignored, in how many…

A: given Ten horses are entered in a race. If the possibility of a tie for any place is ignored,   we…

Q: 2. Suppose there is a race between 9 friends. How many ways can the race be completed if John is…

A: Here use concept of total arrangement

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: 10. In how many ways can we select a group of 2 men and 3 women out of three men and four women…

A: Determine the number of ways in which 2 men and 3 women out of three men and four women can be…

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

A:

Q: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

Q: 4. You are dealt 5 cards from a standard deck of 52 playing cards. In how many ways can you get…

A: In a pack of 52 cards there are 4 suits and each suit has 13 cards so there are 3 similar cards to a…

Q: 11. A pizza parlor has three types of crust, 8 different toppings, and two different cheese blends…

A: Solution: 11. From the given information, a pizza parlor has three types of crust, 8 different…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

A:

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: If 15 people won prizes in the state lottery (assuming that there are no ties), how many ways can…

A: Given that there are 15 people who won prizes in the state lottery. There are 5 prizes available.

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

A: Solution: From the given information, there are six automobiles.

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 360 contestants?…

A:

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

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

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A:

Q: 1. Four cats and five mice enter a race. In how many ways can they finish with a mouse placing…

A: Given that Number of cats=4 Number of mice=5 To find Total number of ways can they finish with a…

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.