Permutations and Combinations Tutorial

This video tutorial focuses on permutations and combinations. It contains a few word problems including one associated with the fundamental counting principle. Permutations are useful to determine the different number of ways to arrange something where as combinations is useful for determining how many ways to combine something when the order does not matter such as selecting members to form a committee. In a permutation, the order matters. Examples include repeated symbols or arranging letters in a word such as alabama or mississippi. This video also discusses the basics of permutations and combinations using letters such as ABCD.
Full-Length Math & Science Videos:
/ collections
___________________________________
Intro to Statistics:
• Introduction to Statis...
Probability - Basic Intro:
• Introduction to Probab...
Binomial Theorem:
• Binomial Theorem Expan...
Permutations and Combinations:
• Permutations and Combi...
Factorials Explained!
• Factorials Explained!
__________________________________
Parametric Equations:
• Parametric Equations I...
Ellipses - Conic Sections:
• Writing Equations of E...
Hyperbolas - Conic Sections:
• Hyperbolas - Conic Sec...
Parabolas - Conic Sections:
• Finding The Focus and ...
__________________________________
Arithmetic Sequences:
• Arithmetic Sequences a...
Geometric Sequences:
• Geometric Series and G...
The Fibonacci Sequence:
• Mathematics - Fibonacc...
Mathematical Induction:
• Mathematical Induction...
Induction Divisibility:
• Induction Divisibility
__________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/i4C1q6ejjKyMbLM

[@hilyanehoya9711]

But us we did permutations with and without repetitions Why am i only seeing without repetitions

[@alfredbconteh]

Deeply explain the concept and also simple and easy to understand

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2 hours before a test and i always find myself here

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This man just taught me permutations and combinations in 7 minutes when my teacher couldn't do it for an hour.

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I would like this comment, but I see it is at 69. Nice.

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@@joshr.5199 it's now 169

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@@weyden7590 176

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I'm in grade 9 when I learn this in school, this is not fair

[@hookey24]

This is not permutation, but variation vs combination. He did not say anything about permutations!

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"0 factorial does not equal 0, 0 factorial equals 1...if you're wondering why.... that's just the way it is. I don't have an answer for you." 10:52 Savage LOL

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That was awesome LOL

[@prncess1848]

The reason why 0! Equals 1 is because when you do 0!= 1!/1! (One factorial over one factorial) it just cancels out to 1. It’s the same if you were to do 2!=3!/3!. When you expand the equation, You would cancel out the 3 on the bottom with the three on the top and be left with 2 times 1 which, of course, is 2!

[@dimitrijep7872]

@@prncess1848 u explained it right except that " 2!=3!/3! " should not have factorial in the denominator, thus it would look like " 2!=3!/3 " standard formula would be n! = (n+1)! / (n+1)

[@neeraj8278]

Just think, how many ways are there to arrange 0 objects, there's one way, just like that...

[@dylansanderson3663]

@@neeraj8278 exactly lol.

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It's funny when he says, "If you're wondering why...that's just the way it is."😂😂😂

[@Rafael_Dimla]

it eezz what it eezz

[@nivritipedaballi4252]

its kinda hard, because hes just saying the formula, but it would have been nice if he explained why it is that way and how he got there its better teaching

[@gustavlotz5415]

its because you can arrange the set { 0 } in 1 way

[@rydm0541]

okay so why is 0! = 1? 4! = 4 x 3 x 2 x 1 = 24 3! = 3 x 2 x 1 = 6. We divide 4 from 4!. 2! = 2 x 1 = 2. We divided 3 from 3!. 1! = 1, dividing 2 from 2! 0!???, divide 1 from 1!, its still one

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I myself also come to videos like these just to repeat basics. In the end basics can't be mastered too well

[@hookey24]

This is not permutation, but variation vs combination. He did not say anything about permutations!

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[@jamiesuka813]

I love how he explains the difference between permutation and combination. It took a me a couple example to finally grasp the advantage of using the formula provided. Not only it made bigger equations to solve but instead of drawing them out which could take longer. The recognition of the two different problems is also an important factor because you don't want to end up using the wrong formula Jamie Toloa

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YOU explained in 15mins what i couldn't comprehend in a 3hr class ! Thank you ! keep being amazing !

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This is the first explanation of permutations and combinations I've seen, that actually explains the difference between both!!! Thanks alot. this is a masterpiece

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MR. Organic Chemistry Tutor, thank you for a powerful video/lecture on Permutations and Combinations in basic Probability Theory. Word problems makes up the majority of Probability Theory.

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This guy is the word GENIUS😂😂😂He just taught me permutations and Combinations in just 2mins

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Where did he get 4 and 2

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This helps! Thank you. I'm struggling in Probability at my university, and I thought the "P" in nPr meant Probability, not Permutation. That explains a lot.

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Thank you so much for this. This summarizes these concepts so much better than reading through broken notes over multiple days. I have an exam on this tomorrow so this is a lifesaver, as permutation and combinations are my weakest units.

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How did the exam go?

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I remember my calculus professor proved to us why 0! = 1 and it was mind blowing. Loved that professor.

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Thanks a lot for easy explanations you provide on the two different formulas. It took me weeks and months to finally arrive to understanding these two concepts today👏👏

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This is by far the best permuations and combinations tutorial I have found on this cite. Thank you thank you thank you. Phenomenal work sir please keep putting out this quality content.

[@leahsoriano4152]

10:51 If there's anyone wondering, I think I figured out why 0! is equal to 1 while watching the video. Basically, if n is like the menu of things you're choosing, and r is the amount of things you can choose from that menu. We can see in the question that n is 5, r is also 5, meaning you have to pick everything out of the menu and not leave anything out. Therefore, there's nothing to cancel out at the bottom to account for anything you can't pick. And having a look at the numbers that fill the spaces at the top left of the screen, I can understand it's the same as just dividing the full factorial by 1. (Please feel free to ask me about any part of my explanation if it was still confusing for you.)

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This makes perfect sense! Thankyou so much!

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My exam isn't tomorrow but near future

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