Distinguishable Permutations of Letters in a Word

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Learn how to find the number of distinguishable permutations of the letters in a given word avoiding duplicates or multiplicities. We go through 3 examples with a bonus example. We discuss factorials and how to simplify factorial expressions.

0:11 Example 1 Distinguishable Permutations of "Algebra"
0:29 Formula n!
2:20 How to Simplify Factorial Expressions
2:43 Example 2 Distinguishable Permutations of "Pepper"
3:48 Mistake to Avoid when Simplifying Factorial Expressions
4:09 Example 3 Distinguishable Permutations of "ALL"
4:36 Example 4 Bonus Example "CANADA"

Related Videos:

How to Use Permutations and Combinations

Probability Examples with Cards

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This really help me for my math contest, since my school does not have proper education and I'm on isolation.. Thank you!!

Karbbbb
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You are my math teacher now congratulations. love u king

brittneyolson
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I was confused when the question asked me find the permutation of the word but considering no repeated letters I was thinking should I devide or there is another way..but now it's clear thanks 👍🏻👍🏻

darkknight
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I wouldn’t be passing my math class without you

Answer is 120

danielchapa
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And once again, our YouTube man does a better job of explaining this than the professor.

williamwright
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Sir your a Diamond in math teaching area! thanks alot

danialdahi
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So thankful we have you 😊 keep on teaching!!❤️

ricadelossantos
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Thank you🥺 because of you ive passed my exam 🥰😘

rezieemblode
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I have my exam in LITERALLY 5 minutes😂😂

ananthim
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Awsome style of teaching it makes problem look so easy

anureetghosh
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I appreciate for helping me in my math subject thank you so much

hayabusalila
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thanks so much! i was stressing out but u helped big time!

jbee
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Are you a mathematician or a math teacher?

ゴテンクス-qq
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Why is the video only 3:57 mins long? It got cut after answering the second item.

geleendelaluna
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Fortunately the video gave me the equations I needed, but for some reason it ends at 3:57 and doesn't include the third example or the bonus, even though other commenters seem to have seen it? Youtube error maybe? :(

Thank you for the explanation, though, it was just what I needed even without the last examples! :D

dirtywhitellama
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I'm interested in a variant I've not seen you cover in any of your vids. How many possible three-letter "words" can you make from the word MISSISSIPPI? I'd be interested in seeing the formula for this!

tony_longson
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can you help to work out this...how many four letters we can arrange out of the alphabet with repeat..counting all like ( AAAA), (AABB)...etc, further more, Is there away to list them in excel ?

Haydarah
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You're such a legend thank you sir

LP-rnid
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6!/3! = 6.5.4.3.2.1/3.2.1 = 6.5.4 = 120

ryojohan
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How about a word JOLLIBEE? pls need help

t_t