Answered: A automobile race contains 15 racecars.…

Math

Statistics

A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second, and third place?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Six students are running a race. How many different ways can they come in first, second, third,…

A: From the provided information, Six students are running a race. The number of ways these six…

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: One hundred people buy raffle tickets. Three winning tickets will be drawn at random. If first prize…

A: Solution of the question is given below.

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from a coin pouch . In a pouch we have given that there are 4…

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A. The number of ways a student can be…

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: In how many ways can a committee of three men and two women from eight men and six women

A: given data make committee of 3 men and 2 womens from 8 mens and 6 womens.

Q: In a race with 8 swimmers, how many ways can swimmers finish first, second, and third?

A: There is total 8 swimmers.

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

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

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: A essay-writing contest offers a $1000 prize for first place and a $250 prize for second place. If…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

Q: Six players are to be selected from an 11-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: Politics. If 10,200 people voted for a politician in his first election, 12,987 voted for him in his…

A: event : A:voted for politician in first election B:voted for politician in second election n(A) =…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: A marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…

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

Q: How many different selections of three books can be made from a set of fifteen books?

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

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Concept explainers

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.

Question

A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second, and third place?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given:

VIEW

Permutation formula:

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A city soccer league has 8 teams. In how many ways could the league assign first, second, and third-place trophies at the end of the season?
Three rooms in a university residence contain three beds, two beds, and five beds, respectively. In how many ways can ten students be assigned to these rooms?
In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40 women?
There are 40 runners in a race. How many ways can the runners finish first, second, and third? There are different ways that the runners can finish first through third. (Type a whole number.)
There are 56 runners in a race. How many ways can the runners finish first, second, and third? There are how many different ways that the runners can finish first through third. (Type a whole number.)
there are eight girls competing in a ice skating competition.in how many ways can they finish in first , second, and third
How many ways can a treasurer, vice president, and president be chosen from a group of 15 candidates?
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
From a club of 19 people, in how many ways can a group of four members be selected to attend a conference?
Ten people wish to play in a basketball game. In how many different ways can two teams of five players each be formed?
In how many ways can a class of 32 students select a president, vice president, treasurer, and secretary?
Twenty automobiles enter a race. Eight are made by manufacturer A, seven by manufacturer B, and the rest by manufacturer C. Keeping track of only the manufacturer of the cars, in how many ways can the cars cross the finish line?