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Letter Permutations List all the permutations of the letters in the word MATH.

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Temple University

University of North Carolina at Chapel Hill

Piedmont College

University of St. Thomas

Lectures

0:00

00:44

Give your answer using per…

00:48

00:33

How many four-letter permu…

01:14

Write all permutations …

01:03

00:32

01:09

Find the number of disting…

04:22

Make a list of all of the …

00:46

00:10

How many distinguishable p…

01:38

02:59

01:31

00:26

02:44

Letter Permutations How ma…

00:16

Solve each counting proble…

01:23

Use the letters $\mathbf{A…

00:36

These problems involve per…

02:19

01:01

Determine whether each sit…

he'll given vote is met. Matt has four. All forbids our letters are we can call it as objects on. So here we had to find the number of permutations off an objects that these formula is in factorial divided by are one factorial into our two factorial into our three factorial into our four factorial. Because we have here only four objects and is what is in the number off objects from which the permutation is formed. Here we have four letters so we have four later stern number off permissions. We can make it from these four letters, so an equal do four. What is art are ease the number off objects used to form the permutations. Here we can use these four letters. So are run is I am That is only one. It's not repeater. So it's one on our toe is also e. A. It is also one because it's also not repeated. Are three ease de that is also one because it's also not repeated on r four ease ich it's again not repeated. So are one is one are two is one arteries, one are four is also what so total number of permutations. Oh, in factorial by that is in factorial is four factorial. Here we are substituting all the values off energy are on our one factorial is one one factorial on our two factorial is also 11 factorial again on our trees on So one von factorial on again off four is also one fact four factorial ease four into three in tow, two into one. Do a drive by one factor Release one and one factor release 11 factor really is one Look in von factor Release one. So final answer is 20 for a few. Multiply four into three into doing to one is 24. We have 24 vis do make though limitations

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