💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Charity Event Participants There are 16 seniors and 15 juniors in a particular social organization. In how many ways can 4 seniors and 2 juniors be chosen to participate in a charity event?

Choose 4 seniors from 16 seniors and the possible ways is ${ }_{16} \mathrm{C}_{4}=1820$ andChoose 2 juniors from 15 juniors and possible ways is ${ }_{15} \mathrm{C}_{2}=105$The number of ways can 4 seniors and 2 juniors be chosen to participate in a charity event is $105 \times 1820=191,100$

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Celia S.

April 13, 2021

At a gathering consisting of men and women, two door prizes are awarded. Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a)Find the probability that both prizes are won by men. The winning ticket is not replaced. Enter your answer as a fraction or a deci

Temple University

Piedmont College

University of St. Thomas

Idaho State University

Lectures

0:00

00:59

In how many different ways…

01:47

In a club with 16 members,…

01:06

A team of 4 officers is se…

00:48

In a group of 5 freshman, …

00:50

In a club with 15 members,…

01:21

From a club of 20 people, …

03:03

How many ways can a commit…

01:42

03:06

Task Assignments How many …

01:26

Four financial planners ar…

Solve the problem using th…

01:35

02:57

In Exercises 17–24, decide…

00:42

These exercises involve co…

00:31

A conference schedule offe…

01:53

A club has 25 members.…

01:07

There are 14 standbys who …

00:53

These problems involve per…

00:44

In how many ways can judge…

01:39

Solve by the method of you…

in this problem, all social organization has decided toe well for all charity. Even for that they have to select four senior part sprints out off 16 senior parts mints. That statement we conducted as 16 see four Now let's find out and c are equal do in factorial, divided by n minus R factorial into R factorial here and equal to 16 and are equal to food. Now we will put the values off and are in able formally, that is 16 see for equal to 16 factorial, divided by 16 minus four factorial into four factorial that is R factorial. No, we can write it as six for a 16 factorial 16 in tow, 15 into 14 and to 13 into 12. Factorial do it by 16. Minus four is 12 factorial into four Factorial. Now we will can sell full factorial in numerator and denominator. Now the how 16 into 15 into 14 into 13. Delighted by full effect, Auriol four into three into two into one. When we simplify numerator and denominator, we will get 18 20 so we have 18 20 ways to select senior participants. Now let's find out junior participants we had to select two junior part sprints out off 15 junior participants. No, that we conducted as 15 see equal toe 15 factorial derided by 15 minus to affected it into two factorial feel an equal to 15 and are equal toe. 15 factorial we conducted as 15 and do 14 in Dubai. 13 Factorial do it by 15. Minus two is 13 factorial indoor to effect total. Now we will can sell 13 factorial in numerator and denominator. We have 15 in do 14 in New Moretto Indian Onorato two Factorial that is Do in tow one 15 into seventies 105 105 ways are there to select junior parts mints but we need total number of parts mints which dicken part spit in and charity even further, we will apply fundamental accounting rule that is, you had to multi play Buddha events. He had to even sir going on off. Those are selecting senior participants and selecting junior participants. That is 16 C four into 15 see to equal to 16 C four is a 10 20 in tow. 15 Sito is 105 When we multiplied these two numbers, we will get one 91 100 So these many ways are there to select total part spurs to perform authority even

View More Answers From This Book

Find Another Textbook

In how many different ways can 4 different boys be selected from a group of …

In a club with 16 members, how many ways can a slate of 3 officers consistin…

A team of 4 officers is selected to investigate a case. How many ways can th…

In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many …

In a club with 15 members, in how many ways can a slate of 3 officers consis…

From a club of 20 people, in how many ways can a group of three members be s…

How many ways can a committee of 3 freshmen and 4 juniors be formed from a g…

Task Assignments How many ways can an adviser choose 4 students from a class…

Four financial planners are to be selected from a group of 12 to participate…

Solve the problem using the appropriate counting principle(s).Dance Comm…

In how many different ways can four people be chosen to receive a prize pack…

In Exercises 17–24, decide whether each exercise involves permutations or co…

These exercises involve counting permutations.In how many different ways…

A conference schedule offers 2 main sessions, 20 break-out sessions, and 4 m…

A club has 25 members.a) How many ways are there to choose four members …

There are 14 standbys who hope to get seats on a flight, but only 6 seats ar…

These problems involve permutations. Class Officers In how many different wa…

In how many ways can judges select a 1 st-place winner, a 2 nd-place winner,…

Solve by the method of your choice.

From a club of 20 people, in how…

08:04

Evaluate each expression.$$\begin{array}{llll}{a .} & {6 !} &…

02:53

Check each binomial distribution to see whether it can be approximated by a …

05:21

The average number of earthquakes that occur in Los Angeles over one month i…

02:47

Inspecting Restaurants How many different ways can a city health department …

09:39

Poker Hands Using combinations, calculate the number of each type of poker h…

06:20

The average yearly Medicare Hospital Insurance benefit per person was $\$ 40…

01:57

Endangered Amphibians There are 9 endangered amphibian species in the United…

02:44

Toothpaste Display How many different ways can 5 identical tubes of tartar c…

Selecting Books Find the probability of selecting 3 science books and 4 math…

03:36

Women comprise 80.3% of all elementary school teachers. In a random sample o…