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Dinner Selections How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and 5 vegetables on the menu?

200

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Missouri State University

University of North Carolina at Chapel Hill

Oregon State University

Lectures

0:00

00:22

A menu offers a choice of …

00:40

A banquet menu lists three…

02:05

In how many ways can a cou…

01:15

A restaurant offers the fo…

01:29

A salad bar offers eight c…

01:51

Planning dinner In how man…

00:53

State whether the events a…

00:49

Nora and Stu decide to ord…

01:18

Use the fundamental princi…

00:56

Pu-pu Platters A Chinese r…

00:43

These problems involve com…

The school cafeteria serve…

01:03

Use the Fundamental Counti…

01:42

00:54

Apply the fundamental prin…

01:25

Sales promotions If a cust…

You are ordering a burrito…

00:35

05:35

Buffet Desserts In how man…

00:29

You are going to a restaur…

here we had to find out our dinner. Mei knew off number off Ways or Britain can select by using EP Days is and Cristobal's Foster will collect late by using APP pages. Your Patton is using three up Tasers out off six webpages. This expression we conducted as six see three so we had to find her the number off base by you sink three repetitious out off six webpages So six factorial do it by six minus three factorial into our factory is three factorial six. Factory is six into five into foot into dream too. Doing to one divided by six. Minus three is three factorial three into doing to one into three factory again. Three. Into doing to one. We can cancel three factorial in numerator and denominator. Once we seem Friedel expression, we will get you're 20 ways are there to select for hepatitis? No. Next Britain is using vegetables he's using to vegetables out off five vegetables. You total number off Mr Balls are five. Andi he's using on. We had to find out the number off ways how he can select the business models. So fire cto equal to five factorial You all know and equal to five on our equal to To for effective Gilbert and minus R factorial is by my news two factorial into two factors. So five factorial is fire into foreign toe train to do into one. Do it but five minus two Factorial is three factorial three in Toto into one, 22 Factory is toe do one. We can cancel three factorial in numerator and denominator So total number off this which he can use for vegetables then actual problem is what we are supposed to find out is the number off ways for the dinner selection by using apt Agius and festivals so fathered by using fundamental law fundamental counting rule We heard two multiplayer, both six 63 that is appetizers with in two six fight to ah that one Peaceful vegetables. This when we multiply board though ways we will get 20 into then 20 is the number off ways off prices on tennis number off ways which he can select vegetables when we multiply 20 into 10 will get 200 This foot totaled in a selection

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