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Signal Flags How many different flag signals, each consisting of 7 flags hung vertically, can be made when there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags?

210

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Gemmm U.

November 29, 2020

Piedmont College

University of St. Thomas

Boston College

Lectures

0:00

04:56

Signal Flags How many diff…

01:03

How many signals can be ma…

00:32

These problems involve per…

00:22

Tell whether each situatio…

00:42

These exercises involve co…

01:24

19–32 These problems invol…

01:39

a. In how many ways can yo…

01:29

$41-52$ Counting Permutati…

03:31

Solana is designing a flag…

00:25

Use an appropriate rule of…

00:43

A palette of water color p…

02:01

Sports Car Stripes How man…

01:06

Determine whether each sit…

00:44

In how many distinguishabl…

02:30

How many different dominoe…

00:12

Seven colored balls (red, …

00:54

These problems involve dis…

00:30

In how many ways can five …

01:56

Tumbling Dice Suppose that…

01:11

How many unique ways can a…

a flag signal consists of seven Flags that they're hung vertically. If you have three identical red flags, toe identical blue flags and two identical white flags. How many different flags signals can be made for this problem? We're going to use permutation Rule number two, which basically states that the number of permutations off any objects where are one objects are identical are two objects are identical, and so on are be objects are identical is given by the formula in factorial over our one factorial are two factorial time Central on R B Factorial, in this case are one place are too blush, and John R B should equal to end. So if we apply it to our problem, seven flags in the flag signals a seven factorial divided by three factorial for the red flags, which are identical times. Two factorial for the two blue identical flags. Times two factorial for the white identical flags. And that should equal using your calculator that would be equal to 210 different flags signals

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