Combinations (vs. Permutations)

We define combinations as the ways of choosing objects from a set of an objects. In other words, order does NOT matter. We explain this concept by comparing permutations to combinations--to get from a permutation to a combination, we divide by the total number of ways to order the objects we choose. In other words, nCr = nPr / r!

I tried to include visuals to make this idea as clear as possible, and the formula is at the end.

[CT-igch]

This was the most helpful tutorial I have found on permutations and combinations because you actually explained what they MEAN. My teacher did not explain the difference between permutations and combinations at all, but you did an excellent job of showing it to me.

Thank you so much for this video! Now this all makes sense. :)
Its so simple but needs to be explained the right way.

[King-oggh]

This has long got me confused. Thank you for a great explanation

[elitecrewmate]

Your visualizations and comparisons to premutations really help to understand the concept, great video.

[ashrox]

honestly, this made more sense than khan academy. Loved the visuals. Thank you man!

[JackM]

Great video. It's rare that statistics teachers help students understand why the equations we use make sense. Very helpful.

[adityarajsharma]

This was best tutorial for understanding the p and c thank you

[CesWhite]

Oh my goodness, was it really that simple? THANKS! A light just clicked on for me and I have a test on this tomorrow. I really wasn't understanding the difference until just now.

[ilyssaallison]

Yes I agree. Plus I'e been looking for hours or visual representation of how to group permutations, and this is one of the only videos which explains so precisely how to do it. Thank you!

[johnstamoser]

This is exactly the kind of video I was looking for. Thanks for explaining!

[sm]

I can use P and C and understand them quiet well, yet I felt there was still something missing. So I went online and researched the topic, after which my understanding further increased because there are lots of great explanations out there. I found amazing how all of them talk about the same topic yet their approach is so very different. When I was about to call it a day, I came across this video, and I couldn’t believe that finally! yes! I found what I was really looking for because this is the angle I wanted to approach the topic and this is the kind of thinking I was building on my own! It is so very great that this video confirms and complements my deductions and understanding. I am so very grateful for this video. Thanks so much!

[Sara_Rasmussen]

oh my goodness!! i was about to take my math final, and was worried about these questions, now hopefully i can get a better grade!! this was so insightfull, the way my homeschool taught me it, it did not really show much of a distinction, but now i get it way better, thank you so much.

[nucleus]

FINALLY! i understand combinations and permutations!! Thanks a lot and great video!!!

[ilyssaallison]

One of the best videos I've seen on this topic. Hands down. Well done!

[Kamikorosu]

Continue making these kinds of videos! Very knowledgeable

[elliotbutler]

I like the siren in the background hahaha=D
Oh no! It's the math police! I suppose it's a crime to explain something so well that not even a moron could be confused!!!! RUN MR. STEVE STEIN, RUUUUNNNN!!!!

[LaurieHailer]

this is a great video. I'm showing it in my class. thanks!

[arjun]

I would have saved a lot of time if I had found this video way before.. Great presentation, Thank you.

[ecnerwal]

ive been trying to get this for weeks. thanks a lot

[jeremiahswartz]

Thank you sir. you are a saint. video was very helpful.

[coragraves]

Thank you so much!! This video was so clear and helpful!