Factorial Expressions (Simplifying)

Learn how to simplify factorial expressions in this video math tutorial by Mario's Math Tutoring. We discuss what a factorial is and how to simplify one. We also discuss some common factorials you want to know as well as some common mistakes to avoid. We go through 4 examples, 2 involving simplifying factorial expressions involving variables.
0:12 What is a Factorial & How to Simplify
0:40 What is 0! Equal to
1:06 Common Factorial Mistake to Avoid
1:27 Simplify 8!/6!
1:56 Simplify (3!7!)/(6!4!)
2:55 Simplify (n+3)!/n!
3:49 Simplify (3n+2)!/(3n-1)!
Related Videos:
How to Use Permutations & Combinations
• How to Use Permutation...
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Пікірлер: 141

  • @purpledino5048
    @purpledino50485 жыл бұрын

    The one dislike was a teacher who’s jealous of this amazing teaching style.

  • @kevinha614
    @kevinha6144 ай бұрын

    5 years later and this is the best method possible. Thank you. Those dislikes are by the teachers that are jealous of your luscious teaching style. thanks for this. saved my ass in discreet math haha

  • @MariosMathTutoring

    @MariosMathTutoring

    4 ай бұрын

    Glad to hear you liked the video!

  • @kylegordon00
    @kylegordon005 жыл бұрын

    Rapid pace but succinct with no fluff. Had to miss this lecture because of my wife being hospitalized... rewatched and found everything I was looking for, thanks for your time and effort!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome Kyle. Hope your wife is ok.

  • @cullenoleary1619
    @cullenoleary16194 жыл бұрын

    Wow Just WOW! I'm in calculus 2 right now and this video really helped me with ratio tests. I really don't remember learning factorials before this class. They're cool and fun to do. But thanks so much for this quick video to summarize the simplification process!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome!

  • @michelleortiz5103

    @michelleortiz5103

    Жыл бұрын

    Im here for ratio test too 😂 BC Exam tomorrow 💀

  • @errornosignal
    @errornosignal4 жыл бұрын

    haha, got me right out of the gate with "yay 3"

  • @pauldenino3194
    @pauldenino31946 жыл бұрын

    Regarding your website; it's fantastic that you've taken the time to put all the videos in order. There are barely any teachers online who bother with organizing their videos which makes following them unnecessarily hard. I hope your channel gets more recognition. You truly deserve it.

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    Thanks for the positive feedback Paul!

  • @onlylonelystars9268
    @onlylonelystars92683 жыл бұрын

    Factorials always confused me, especially with how I just got thrown in the deep end with finding the limits of series using the ratio test. Thank you for making a video that explains factorials so quickly, without wasting any time; the 0! and 1! parts were extremely helpful as well!

  • @kurtgardner7152
    @kurtgardner715211 ай бұрын

    This was very useful, covering some stuff before an exam and realised I didn't know how to simplify factorials with terms such as (n+1), it was clear and straight to the point which really helped

  • @nathanskinner423
    @nathanskinner4234 жыл бұрын

    OH MY GOD, I have been struggling so much with binomial factorials but now I finally see the light. I took math courses all the way up to DiffEq and nobody ever explained this as good as you do.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Awesome! Glad my video helped you understand factorials better NATHAN!

  • @rebeccatan4848
    @rebeccatan48484 жыл бұрын

    omg i finally understood this after 2 years... thank you for your clear and concise explanation!! rly helps me since i’m taking the a levels this year! :)

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad my video helped you Rebecca!

  • @jewbagel5969
    @jewbagel59693 жыл бұрын

    Currently in calc 2 doing series and this helped me, i love u

  • @williamhong6819
    @williamhong68192 жыл бұрын

    Thank you so much, you are better than my prof who gets paid for making this simple concept harder for us. You are the best!

  • @miaaaaaa_is_here
    @miaaaaaa_is_here3 жыл бұрын

    IM SO GRATEFUL THE INTERNET EXISTS RIGHT NOW, THANK YOU!

  • @whiteadobo
    @whiteadobo2 жыл бұрын

    Thank you for this breakdown! Your videos helped me get through my Cal II class.

  • @terrancepage9163
    @terrancepage91632 жыл бұрын

    really good stuff. no wasted time, straight to the nitty gritty. I'm in calc 2 right now and my algebra isn't great since i skipped college algebra. These kinds of videos really help. Thanks!

  • @ericfrost4821
    @ericfrost48216 жыл бұрын

    Excellent presentation. You have a gift for teaching, making the seemingly complex easy to grasp. Thanks!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    You’re welcome Eric! Glad you like my teaching style!

  • @theComput3rNerd
    @theComput3rNerd7 ай бұрын

    Straight to the point, thanks for the help!

  • @MariosMathTutoring

    @MariosMathTutoring

    7 ай бұрын

    You’re welcome!

  • @SnugBmw
    @SnugBmw2 жыл бұрын

    Excellent overview, thank you!

  • @Randomproductions333
    @Randomproductions3334 жыл бұрын

    you're great at explaining these things in layman's terms

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you like the way I explain things Joe!

  • @IcepatDK
    @IcepatDK5 жыл бұрын

    Helped me understand simplying facitoral with variable terms, thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome! Glad my factorial Video Helped you!

  • @danieljumbo5875
    @danieljumbo58753 жыл бұрын

    Helped me understand simplifying factorial after 3 years

  • @J-WafflezZ
    @J-WafflezZ5 жыл бұрын

    Awesome thanks for the info! I am an Engineer and I am trying to review out of my comfort zone math problems!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome Jonathan! Glad my videos are helping you with your review!

  • @itsbossin
    @itsbossin3 жыл бұрын

    Thank youu for the great content! Always a life saver

  • @Elizafys
    @Elizafys Жыл бұрын

    Thank you sir this video helped a lot, quick and simple :D

  • @bruklinbruk1861
    @bruklinbruk18613 жыл бұрын

    It really helped me. Thank you sir

  • @troyfitz1638
    @troyfitz1638 Жыл бұрын

    best factorial explanation!

  • @isabellacrow7163
    @isabellacrow71632 жыл бұрын

    Studying for a Calc II exam right now and kept getting ratio test questions wrong b/c I didn't understand how to simplify factorials. I get it now thank you thank you thank you

  • @mathematics_zone5081
    @mathematics_zone50812 жыл бұрын

    Superb explanation

  • @danimanabat5791
    @danimanabat57913 жыл бұрын

    I reached calculus 2 without knowing how to simplify factorials in expression form lol. Thanks A LOT for this T.T

  • @bhagyalaxminegi2375
    @bhagyalaxminegi23753 жыл бұрын

    Hello am from India ..nice explanation..sir thank you very much

  • @pandurangpawar651
    @pandurangpawar6512 жыл бұрын

    Thanks Mario sir 😊😊

  • @jordanadkins4362
    @jordanadkins43623 жыл бұрын

    Helpful for my Discrete Math class in college. I don't use factorials very often, so thank you!

  • @jordanadkins4362

    @jordanadkins4362

    3 жыл бұрын

    Very useful!

  • @Bellabukas
    @Bellabukas4 жыл бұрын

    Thank you so much, I understand IB chapter 1 much better now.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Awesome! Glad my video helped you Mirabella!

  • @kanhaiyakumarjha257
    @kanhaiyakumarjha2575 жыл бұрын

    your style for teaching is amazing sir

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Thanks Kanhaiya! I’m glad you like my teaching style!

  • @vignesh8986
    @vignesh89862 жыл бұрын

    Thank you !

  • @abbeycampbell1355
    @abbeycampbell13552 жыл бұрын

    Thank you for saving me from my calc class :)

  • @studycircle5999
    @studycircle59994 жыл бұрын

    He really explains in a amazing way

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Thanks Thaluri!

  • @envynoir
    @envynoir5 жыл бұрын

    Thank you very much, it all makes sense!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome! Glad my video helped make sense of factorials!

  • @katotter
    @katotter3 жыл бұрын

    Thank you now I know how to do it simply!!

  • @MariosMathTutoring

    @MariosMathTutoring

    3 жыл бұрын

    Awesome!

  • @muff309
    @muff3093 жыл бұрын

    my humor is so broken i laughed when u said "yey three!"

  • @Maahi267
    @Maahi2672 жыл бұрын

    Thankyou sir 🙏 this video is very helpful..🍫🍫🍫I am first time in your channel and your teaching style is outstanding sir👌👌👌.....

  • @diyamary416
    @diyamary41621 күн бұрын

    your saving my life

  • @claudiomaquine6973
    @claudiomaquine69733 жыл бұрын

    great vid thanks

  • @eliseoduque3261
    @eliseoduque32619 ай бұрын

    This guy beats the indian tutorials

  • @markd2797
    @markd27973 жыл бұрын

    Thank you

  • @g.mohith1115
    @g.mohith11153 жыл бұрын

    ❤from 🇮🇳 sir thank you so much

  • @micahguay958
    @micahguay9582 жыл бұрын

    Thanks!!

  • @aliciacorbin
    @aliciacorbin4 жыл бұрын

    Thank you for your time!!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Thanks for watching Alicia!

  • @silvanakordab3782
    @silvanakordab37823 жыл бұрын

    Wow wow thank you

  • @trodg
    @trodg Жыл бұрын

    Thank you :)

  • @ncasey9519
    @ncasey95194 жыл бұрын

    Wow!! This helped me so much!! Thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome N Casey!

  • @Supernova1114
    @Supernova11143 жыл бұрын

    thank you!!!!

  • @michellealvarenga7489
    @michellealvarenga74893 жыл бұрын

    Thanks Man :)

  • @flyingsloth6183
    @flyingsloth61834 жыл бұрын

    You sir, are an amazing teacher

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you like my teaching style!

  • @jedimasterdaxi5602
    @jedimasterdaxi5602 Жыл бұрын

    thank you

  • @keshavdivrala762
    @keshavdivrala7623 жыл бұрын

    Good job👍👍

  • @blankrealist8872
    @blankrealist88722 жыл бұрын

    Massive help

  • @gaspar445
    @gaspar4455 жыл бұрын

    You are the best at explaining

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Thanks Gaspar! Glad you like my videos and explanations!

  • @AS.Developer15
    @AS.Developer153 ай бұрын

    Yeah! I learned factorials(!)

  • @mandoloredo6520
    @mandoloredo65204 жыл бұрын

    Perfect explanation!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked my explanation Mando!

  • @user-fw3wl6rv1v
    @user-fw3wl6rv1v5 жыл бұрын

    ありがとう

  • @MarcoAGJ
    @MarcoAGJ3 жыл бұрын

    Nice video.

  • @connorwadwell1190
    @connorwadwell1190 Жыл бұрын

    Thanks heaps mate!

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Happy to help

  • @athenaa.bosendorfer
    @athenaa.bosendorfer2 ай бұрын

    Thank you!!

  • @MariosMathTutoring

    @MariosMathTutoring

    2 ай бұрын

    You're welcome!

  • @gamfut1348
    @gamfut13483 жыл бұрын

    ty :)

  • @FernandoCruz-tl2xn
    @FernandoCruz-tl2xn4 жыл бұрын

    It was so usefull. Thanks!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked my factorial video Fernando!

  • @Akinsha
    @Akinsha Жыл бұрын

    I still have a question, why in the lat example you wrote (3n+2)!=(3n+2)(3n+1)(3n) and (3n-1), where did you get (3n-1) from? I thought that we multiply numbers from this (3n+2) to the smallest, just 3n, please explain this moment

  • @Jay-ym2ri
    @Jay-ym2ri2 жыл бұрын

    thanks

  • @91dgross
    @91dgross Жыл бұрын

    can u explain how in problem 3 you are able to multiply by (n)! in the numerator? my understanding is that after you multiply (n+3)! = (n+3)(n+2)(n+1), -->(n+1) is the last factorial, or the act of multiplying by 1. my question is, if the goal is stop multiplying when we get to 1, how can we just spontaneously throw up (n)! to multiply by when ..*(n)! does not represent 1 in this case, as (n+1) does

  • @angelzaldivar4225
    @angelzaldivar42253 жыл бұрын

    This really helped... But I have a question, what do I do if this is the given "3 times (11!\7!4!)... Thank you in advence for the help... God bless you always

  • @joykumarnath2928
    @joykumarnath29283 жыл бұрын

    Thank you sir and I'm from india

  • @franciscoaguirre9169
    @franciscoaguirre91695 жыл бұрын

    Question: Why did you go from 3n to 3n-1 on the numerator. Why did you not stop at 3n?

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Good questions Francisco....you want to keep going until the factors in the numerator and denominator start to match up so you can then cancel the ones in common and see what remains...hope that helps

  • @seyiadeniji2687
    @seyiadeniji26873 жыл бұрын

    Thank you sir if you're seeing this

  • @simplyballing1592
    @simplyballing15924 жыл бұрын

    Excellent explanation

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked my explanation about factorials!

  • @luisllistosella3959
    @luisllistosella3959 Жыл бұрын

    Doing my a levels rn, you're so much better at explaining this than my course book thank you, Mario. The only question that I have is what do you do when the denominator is seemingly larger than the numerator, rn I'm stuck on a problem where I have to prove that nC2 = n(n-1)/2 how would I go about that?

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Hi Luis….this video I did here might help explain some things better than I can type it out here: Solving Permutations Equations kzread.info/dash/bejne/iXWoj9GPnMe4gqQ.html

  • @luisllistosella3959

    @luisllistosella3959

    Жыл бұрын

    @@MariosMathTutoring wow great job thx a lot, this is really helping me

  • @ryank1850
    @ryank18504 жыл бұрын

    always didnt pay attention in class or slept and this 1 vid prepares me for test tomorrow loool

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Good luck on your test! Glad my video helped you prepare!

  • @zedspikeful
    @zedspikeful4 жыл бұрын

    Thank you sir!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Clinton!

  • @ClaudioBOsorio
    @ClaudioBOsorio4 жыл бұрын

    Thanks so much. you rock

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked the video Claudio!

  • @kristyh1111
    @kristyh11114 жыл бұрын

    Definitely wished you showed the FOIL steps. I have to find another video now for that part.

  • @PIX-HUGEIFY

    @PIX-HUGEIFY

    4 жыл бұрын

    xd just expand two brackets and then expand the result by the third

  • @someasianboi9032
    @someasianboi90323 жыл бұрын

    When you do (n+3)! Wouldn't it be (n+3)(n+2)(n+1)(n)? Why do you leave the factorial in the end?

  • @sreyasstation-ss9567
    @sreyasstation-ss95674 жыл бұрын

    Great sir!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked the video Sreyas!

  • @farahsyeda29
    @farahsyeda295 жыл бұрын

    How to solve (n+1)^2 factorial /( n)^2 factorial ????

  • @francisreyestalusig8432
    @francisreyestalusig84324 жыл бұрын

    Thanks man

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Yushi!

  • @abe.vs.ape.
    @abe.vs.ape.3 жыл бұрын

    gracias mi pelon

  • @ilovezac_
    @ilovezac_ Жыл бұрын

    0:07 I'm killed me🤣🤣🤣🤣🤣🤣🤣

  • @rayyankhan03
    @rayyankhan033 жыл бұрын

    Ok so for the N questions how would I "foil it out" if I want to write a final answer

  • @rayyankhan03

    @rayyankhan03

    3 жыл бұрын

    Questions 3 and 4

  • @ryanhan2145

    @ryanhan2145

    3 жыл бұрын

    @@rayyankhan03 for 3 it'd be (n+3)(n+2)= n^2+nx+6 (n^2+nx+6)(n+1)=n^3+n^2+11n+6 I'm sure you don't have to multiply it like this, I think just keeping in at (n+3)(n+2)(n+1) will work

  • @edgardoconcepcion8308
    @edgardoconcepcion83084 жыл бұрын

    vry nice sir. it's simple explaination ^_^

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked my video on factorials!

  • @gauravagrawal470
    @gauravagrawal4704 жыл бұрын

    Solve it 1/(-3)!

  • @potatotea5410
    @potatotea54105 жыл бұрын

    thankyou

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome Bocamere!

  • @fredricksolomon8469
    @fredricksolomon84696 жыл бұрын

    Hi, Please do some real time application scenario along with this simplification..

  • @foxyrollouts
    @foxyrollouts5 жыл бұрын

    awesome..no more banging head on desk

  • @maxwashington1959
    @maxwashington19593 жыл бұрын

    O foda é q eu n entendi a professora mas entendi esse cara em ingles

  • @annbush7048
    @annbush70482 жыл бұрын

    He has such pretty eyes 🤩

  • @FunctionFIVE
    @FunctionFIVE Жыл бұрын

    What level of math is this considered?

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Depends on the class…algebra 2, college algebra, or PreCalculus

  • @FunctionFIVE

    @FunctionFIVE

    Жыл бұрын

    @@MariosMathTutoring well I took algebra 2 at least, must have forgotten this. Thanks for the reply and the excellent video, really helped me with my calc homework

  • @SierzantYelonek
    @SierzantYelonek6 ай бұрын

    how to simpify n!/(3n)!

  • @unnamedracer9757
    @unnamedracer975724 күн бұрын

    Yay, I might not fail Calc 2! Jk Thanks.

  • @benmontgomery1111
    @benmontgomery11113 жыл бұрын

    !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! -those are exclamations of joy... not factorials

  • @mickenev
    @mickenev2 жыл бұрын

    have my children