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Word Permutations How many permutations can be made using all the letters in the word MASSACHUSETTS?

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Luke L.

October 2, 2020

64864800?

Temple University

Missouri State University

Piedmont College

Lectures

0:00

00:10

How many distinguishable p…

00:11

00:14

02:44

Letter Permutations How ma…

00:22

How many four-letter permu…

00:15

00:26

00:33

01:32

How many permutations are …

02:16

Word Permutation How many …

00:36

Solve each problem using t…

00:37

01:42

00:34

These problems involve per…

How many six-letter permut…

03:34

Letter Permutations List a…

01:33

These problems involve dis…

01:00

These exercises involve di…

he'll given board. Massachusetts has 13 letters, and we have to find the number off permutations, which can be formed by using given board first. Let's see how many letters are repeating on how many times for Slater is him. M is repeating only once, so I am equal to one that is, we can consider it as Aguan on it is repeating two times it's our to because the repeating two times he'll on here eased it. Then third letter is is so let's see how many times it's repeating 12 three and for So s is repeating four times. This is our three. Then see, see how many times distributing on Levant's so see ease one our forties one. Then what is the next little itch? It is debating also one Levant's. It's not repeating so one. It's our If I then next lotteries. Hugh you is also not repeating so one our six. Then again, E is also not repeating our seven. No last letter is B. He is repeating twice sortie equal to do that is our eight. Now here we have to find out the number off limitations. Further formula is in factorial by are one factorial into our two factorial into our three factorial. Into our for factorial in tow are five factorial into our six factorial into our seven factorial in our eight factorial. Now we will substitute the values off and on are not worth three are for our for our success seven r eight So n is 13 that these are one place are to place our triplets are for place or if I place are six place are seven r eight That is total number of characters 13 Factorial dueted by odd One east one factorial into are to ease two factorial that is our to then our three East s four factorial Then our four is See, that is one factorial then our five is one factorial then our sixties also one factorial Ah seven is also one factorial and are it is tool factorial. Now let's see, We will tell ACL it. 13 Factory is 13 into Dwell into 11 into 10 into nine into eight in tow, seven in tow, six into five in tow Fooled into three into two in tow one directed by one Factorial east one and in tow to factory is two into one and four. Factorial is for in tow, three into two in tow. One into then von Factorial is one again. One factor really is one again. One factor. Release one and finally, to factorial ease toe into one. Not we will simply if I know catfish so Toto can still feel here also do on 32 times, turned full two times again. You will cancer fear. Finally, we will get three zero eight eight eight eight zero so we can get 30880 permutations.

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