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Toothpaste Display How many different ways can 5 identical tubes of tartar control toothpaste, 3 identical tubes of bright white toothpaste, and 4 identical tubes of mint toothpaste be arranged in a grocery store counter display?

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Piedmont College

University of St. Thomas

Idaho State University

Boston College

Lectures

0:00

00:30

In how many ways can five …

05:36

How many ways are there to…

01:01

02:49

Stacking Boxes In how many…

00:56

Lining Up Books In how man…

01:13

Arranging Books In how man…

04:46

01:59

Book Arrangements How many…

01:38

00:55

Use the Fundamental Counti…

01:19

In how many ways can 5 dif…

01:40

01:09

02:14

In how many ways can 4 can…

00:49

Tell whether each situatio…

00:38

00:48

01:39

In how many different ways…

01:20

These problems involve dis…

There are five identical tubes off tartar control toe based, three identical tubes off bright white toe based and four identical dooms off mint dude based. And the question is in How many ways can the stupids off to paste be arranged on a store counter display? So here, we're going to use I permutation Rule number two. This rule states that the number of permutations of any objects where are one objects are identical are two are identical and show on are superior. Identical is given by the formula in factorial over our one factorial are two factorial and show on R B Victoria. It's important to note that are one which are two plus and so on. R B should equal to the total number of objects in So for our for this particular problem. Okay, the total number off tubes off toothpaste is five plus three published for which is equal to 12 in the number off ways that we can arrange. Beast 12 tubes of toothpaste is given by 12 factorial divided by five factorial. I'm street factorial times for factorial since five of them are identical, the others were also identical. The other four are identical. And if you sure calculator, they should equal to 27 Gulshan 700 20 different ways off arranging the good based tubes on the counter.

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