Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Selecting Players How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Michael R.

March 8, 2022

12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed

University of North Carolina at Chapel Hill

Piedmont College

Oregon State University

Lectures

0:00

01:41

How many ways can a baseba…

00:47

01:39

Baseball If a baseball coa…

01:19

A baseball team has 15 mem…

01:00

Use the permutation or com…

01:03

How many different nine-pl…

Tell whether each situatio…

01:09

A baseball coach is cr…

02:52

The manager of a baseball …

01:33

Thirteen people on a softb…

00:56

In how many ways can 5 pla…

01:23

I used the permutations fo…

06:11

Selecting a Jury How many …

00:49

A baseball team has 20 pla…

02:49

How many different batting…

03:40

In how many different ways…

00:58

Baseball Teams A baseball …

01:42

From a group of $ 40 $ …

Batting Order How many dif…

00:22

There are 12 boys and 13 g…

We had to select four baseball players from 12 baseball players so we can write it as well. C four And when you to select three basketball players from nine basketball players. So total Oh, a number of players need to be find out by using fundamental counting rules. First step Ah, we had to find our dot Well, see for that these number of combinations off well, see for ease Weekender did as and C are equal to in factorial by end minus, uh, factorial into our factory r factorial Why we are dividing with our for do a border repetitions. So in fact, you really is in 1st 1 an equal to 12 so 12 factorial divided by in east fel on are these four in minus R factorial in tow R factorial that is four factorial full factorial by our and minus affect Released full minus four Factorial is eight factorial in tow. Four factorial fell factorial 12 into 11 in tow, then into nine in tow. Eight factorial because in denominator we have to do it. Eight factorial multiplied by four factorial so we can cancel eight sectorial in numerator and denominator trail into 11 in tow, then in tow. Nine. Divided by four factorial ease four in tow, three in tow, two into one. If we simplify, we will get for 95 for 94 plays can be selected from those plays for 25 ways. Are there to select the players after that? Ah, we need to find out the basketball players. Number of combinations are Step Duke nine c three. We can write it as nine factorial by nine minus three Factorial nine minus three factorial into three factorial that these three is art. Nine. Factorial by nine. Ministry is six factorial into three factorial nine Factory lease. Nine in tow, eight in tow into seven into six into fi into four into three in tow to into one divided by six. Factorial is six in tow. Five into four into terrific. Three into two into one in two three factory. It is three in tow to into one. If we simplify, six. Factorial will be can sell in numerator and denominator again. Three and four. If you multiply three into four into seven. Equal toe. 84. No, what is the next step? To find out the total number off vase for selecting the basketball and baseball players. We need to multiply the Buddha players by using fundamental counting rule by using fundamental counting rule we heard to multiply down Buddha players for 95 in tow. 84. We'll get 41 tells soon. 580 5 41,080 ways are there to select the players off baseball on basketball.

View More Answers From This Book

Find Another Textbook

Numerade Educator

How many ways can a baseball coach arrange the order of 9 batters if there a…

Baseball If a baseball coach has 5 good hitters and 4 poor hitters on the be…

A baseball team has 15 members. Four of the players are pitchers, and the re…

Use the permutation or combination rule.A basketball coach must pick 5 p…

How many different nine-player batting orders can be chosen from a bascball …

Tell whether each situation is a permutation or combination.How many way…

A baseball coach is creating a nine-player batting order by selecti…

The manager of a baseball team of 12 players wants to assign infield positio…

Thirteen people on a softball team show up for a game.a) How many ways a…

In how many ways can 5 players be assigned to the 5 positions on a basketbal…

I used the permutations formula to determine the number of ways people can s…

Selecting a Jury How many ways can a jury of 6 women and 6 men be selected f…

A baseball team has 20 players. How many 9-player batting orders are possibl…

How many different batting orders can a baseball coach create from a team of…

In how many different ways can a jury of 12 people be randomly selected from…

Baseball Teams A baseball team has 19 players. How many 9-player batting ord…

From a group of $ 40 $ people, a jury of $ 12 $ people is to be sel…

Batting Order How many different batting orders can a baseball coach create …

There are 12 boys and 13 girls assigned to a class. In how many ways can 2 b…

05:32

Dinner Selections How many ways can a dinner patron select 3 appetizers and …

09:02

The mean precipitation for Miami in August is 8.9 inches. Assume that the st…

01:30

What is the meaning of the adjusted $R^{2 \prime}$ Why is it computed?

03:05

Code Words How many different 9-letter code words can be made using the symb…

Speaking Order Seven elementary students are selected to give a 3-minute pre…

02:13

Radio Station Call Letters The call letters of a radio station must have 4 l…

02:47

Secret Code Word How many 4-letter code words can be made using the letters …

Cell Phone Models A particular cell phone company offers 4 models of phones,…

05:09

People Seated in a Circle In how many ways can 3 people be seated in a circl…

04:26

Hawaiian Words The Hawaiian alphabet consists of 7 consonants and 5 vowels. …