Permutations and Combinations Tutorial
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- čas přidán 9. 02. 2017
- 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:
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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
__________________________________
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But us we did permutations with and without repetitions
Why am i only seeing without repetitions
Deeply explain the concept and also simple and easy to understand
2 hours before a test and i always find myself here
Fellow habesha 😄
Same
Me right now lol
Day before 🤣🤣
@@lilactiktok zero o'clock
This man just taught me permutations and combinations in 7 minutes when my teacher couldn't do it for an hour.
I would like this comment, but I see it is at 69. Nice.
@@joshr.5199 it's now 169
@@iyah1050 it's now 174...but i added a like.
@@weyden7590 176
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I'm in grade 9 when I learn this in school, this is not fair
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
That was awesome LOL
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!
@@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)
Just think, how many ways are there to arrange 0 objects, there's one way, just like that...
@@neeraj8278 exactly lol.
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Yep
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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
This is not permutation, but variation vs combination. He did not say anything about permutations!
Hey, Can you please tell me what topics should i study to become a quant?
It's funny when he says, "If you're wondering why...that's just the way it is."😂😂😂
it eezz what it eezz
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
its because you can arrange the set { 0 } in 1 way
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
it's means don't ask anymore questions🤣
“If you want to know why? That’s just the way it is.. I don’t have an answer for you” best part of the video by far
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A wonderful voice and elegant way of explaining. I just like your voice and style of teaching. So nice.
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arrange=permutations
4:33 - calculating permutations
6:00 - calculating combinations
7:36 - sample questions + working
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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
Same ! I didn't know the difference
That's my issue. I understand everything and how to do it. But I don't understand how to know which one to use and to recognize the two types of problem
Same here
I’m now okay
I have my math test tomorrow and I accidentally fell asleep in the class where my teacher was explaining this and omg this helped so much thank you!!!!! You’ve saved my life for chemistry too! You’re awesome!!
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This guy is the word GENIUS😂😂😂He just taught me permutations and Combinations in just 2mins
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Honestly man, you saved me. I tried to understand this topic, but never could visualise the difference between permutations and combinations, now I got the difference thanks you to. Thank you so much!
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
Same here
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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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For anyone looking for an (in my opinion) an easier way to calculate the r-Permutations:
P(n,r)
For example:
P(4,3)= 4x3x2
p(8,5)= 8x7x6x5x4
So the r is actually just the number of times you need to multiply down. So in the first example, we multiply down 3 times, where as in the second one we multiply 5 times.
An easier way (in my opinion) to do the equation for r-Combination is:
C(n,r) = P(n,r)/r!
For Example:
C(6,3) = P(6,3)/3!
P(6,3) = 120 (6x5x4)
120 / 6 (3! = 3x2x1)
C(6,3) = 120/6 = 20
A second example:
C(7,2) = P(7,2)/2!
P(7,2) = 42 (7x6)
42 / 2 (2! = 2x1)
C(7,2) = 21
A third example:
C(8,3) = P(8,3)/3!
P(8,3) = 336 (8*7*6)
336/6 (3! = 3x2x1)
C(8,3) = 56
Hope this helps.
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Exams tomorrow lol
Ty
same tbh even tho we're not referencing the same point in history
same
My exam isn't tomorrow but near future
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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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Y'all learn permutation and combination the whole month? Lol
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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.
How did the exam go?
u are a really great teacher , u made it so easy to understand, thanks for this
TY BRO
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If you want some more practice, you might want to check out my latest upload, where I solve such exercises step-by-step:
czcams.com/video/siSc7VEfG3c/video.html
:)
My test tommorrow
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"if u wondering why 0 factorial = 1 I don't have the answer for u" 😂😂
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.)
This makes perfect sense! Thankyou so much!
I'm just happy they gave it outright and didn't ask us to go on a goose chase to find it
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7 years ago and still helpful. Thanks a lot!❤
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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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Where did he get 4 and 2
i subed to u
Studying for the GMAT and needed a massive refresher on permutations and combinations. This has been insanely helpful
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