Combinations and Permutations Word Problems

Combinations and Permutations word problems.
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[TheJohnnyCombat]

What a teacher! Cheers mate! My kids think I'm brilliant! When they're older I'll tell them the truth!! All the best and keep doing great things!! Thank you!!

[lisamullis]

Paid for a GRE prep course for the math portion. These videos are doing the trick instead! So appreciated! Thanks!

[omni]

Dude, I figured out how to do permutations and combinations just by looking at the thumbnail
Also like if you're watching in 2019

[thelittlechef]

I have not yet found anyone on the internet who explained this easier and better than you did!!! This was AMAZING!! Thank you sir!!

[MUMTAZKHAN-uppp]

A permutation is a set of all possible arrangements of some or all objects from the collection, when the order of the selection of objects from the collection is important. The combination is a selection of objects from the collection, such that (unlike permutations) the order of selection from the collection does not matter. For example,
• Fruit salad of apples, grapes and bananas is a combination. If we do not care what order the fruits are in, then they could also be "bananas, grapes and apples" or "grapes, apples and bananas", it is the same fruit salad.
• Selection of the five number of peoples for the team is a combination. You could order them by names, heights or something else, but essentially you would still have the same team, ordering is irreverent.
• The ATM pin code “1234” is a combination. Now we do care about the order. The orders 4321" or "3412” would not work. It has to be exactly “1234” for opening the ATM machine.

The languages that are more precise in counting techniques are the following:
• If the order does not matter, then it is a combination
• If the order does matter, it is a permutation

[MechanicsStudents]

Felt like just the other day I watched videos on this channel to pass my algebra regents, now I'm doing statistics. Time flies.

[alfredoalzulaiii]

I love how you teach sir very brief yet so easy to understand

[brandon]

This was so perfect! You are amazing and that accent is dope. :)

[fishhikeforage]

There's some confusion about the first example---tecmath is right, it is a permutation. Think of it as making a playlist. Keyword here will be "list". The order matters because otherwise it's a different performance, a different concert if you will.

[zephyr]

A seemingly difficult topic was very easy in reality! Thanks sir.

[vhanessabautista]

The last question could simply be:
Circular permutation, because it is talking about ( around a campfire).. anything that talks about circle use this.

Formula: (n-1)!
•how many ways can 6 people sit around a campfire?

6-1= 5! = 120 ways

[otegelilian]

Watching it some hours to exams and am greatful it has really help

[xwavestr]

I could watch you write all day long. The numbers/shapes are so neat and natural it's mesmerizing... A big improvement from the horrendous oversized scratchy felt marker on paper *cringe*

[cedrickdeguzman]

5:55 we answered that yesterday and Got the correct answer😀😀😀...

Thank you for the easier step

[sofiaabod]

In the first question, why is it you used permutation? The problem is not in order it must be combination. Am I right?

[gingermuro]

i still have no idea how to figure out if the order matters or not

[mordom]

Thanks for the extra comb and perm word problems! It helped me a lot on the math comps.

[calfpv]

For the first question surely you need to divide by 3! to take into account the different orders of songs? 210 ways includes 3! ways of doing the same 3 songs just in a different order?? Then for second question, surely you would NOT divide by the 3! because giving 1st and 2nd and 3rd in a different order means giving different horses different places - order IS important here so you DON'T divide. Am I reading the questions wrong and going crazy here or are your permutations and combinations a little muddled???

[mainel]

Still confused about when order matters vs when it doesnt matter.... can anyone give me a trick to determine when it matters and when it doesnt?

[astoldbyashley]

Anybody else here the morning of a test and learned this literally within 5 minutes of watching?!! What is my professor doing?