#Combination
glacial matrix
fossil flax
static hare
,rotate
acoustic orchidBOT
static hare
which questions
glacial matrix
11-18😿
glacial matrix
Well… hehehe none😿
glacial matrix
Combination🫶🏻
static hare
alright, in combinatorics you have two main questions:
- do we care about the order in which the members are chosen?
- can we have repeated choices?
answer these 2 questions
untold current
static hare
why are you just giving the answer
untold current
why are you just giving the answer
🗿probably not used to helping
graceful kayak
glacial matrix
How’d you get that? I don’t even know how to solve it😿
untold current
It’s 7 chosoe 4
graceful kayak
why are you just giving the answer
💀 💀 I thought i sent an image on the process but its not sending
static hare
How’d you get that? I don’t even know how to solve it😿
I'm trying to explain 
graceful kayak
some fruit one sent
untold current
It’s 7 choose 4
graceful kayak
why are you just giving the answer
im not that braindead i promise🙏 😂
glacial matrix
WHATTTTT wait so what’s the answer in number 11?😿😿😿
molten bloom
WHATTTTT wait so what’s the answer in number 11?😿😿😿
The same way you would've solved 16, no?
untold current
The same way you would've solved 16, no?
She doesn’t know how to solve them
graceful kayak
in this case its7
molten bloom
oh so 11 to 18?
untold current
oh so 11 to 18?
Yeah
graceful kayak
r is the size of the "group" you are making
peak socket
alright, in combinatorics you have two main questions:
1) do we care about the o...
I think in combi, we don't need to care for the order. And we couldn't have any repeated choiches with same member like (a,b) = (b,a)
untold current
She needs help solving them as she’s lost
static hare
I think in combi, we don't need to care for the order. And we couldn't have any ...
depends
molten bloom
Then how did u do 16
static hare
hence the question
graceful kayak
That’s the only questions needed
here lemme start over
untold current
Then how did u do 16
Combinatorics
static hare
but there's too many ppl here
glacial matrix
I apologize in advance for stressing yall all out🙏
untold current
She probably just need a refresher
untold current
Same method
I know 💀 she needs help with the process and the formula
graceful kayak
Ok so theres 2 variables to worry about here, "n" and "r"
"n" is the total amount of options in the equation
In #11 the "n" would be 7
"r" is the size of the desired group
In #11 the "r" would be 4
Then plug them in
7!
(7!-4!) * 4!
Then punch that in
@glacial matrix
untold current
It should be 7!/4!(3!)
glacial matrix
Ohhhhh OKAY OKAYYY I get it
untold current
Mhm
glacial matrix
But how do you get the final answer
Or like how do you solve the whole thing
What am I saying😭🙏
graceful kayak
What am I saying😭🙏
do you know what ! means?
untold current
do you know what ! means?
Factorial 😏
static hare
just giving the formula is useless if you don't explain when to use it and why it works
untold current
@graceful kayak let’s go back to discussy
glacial matrix
~~just giving the formula is useless if you don't explain when to use it and why...
Sadly agree
graceful kayak
Sadly agree
sorry lol, i tried my best haha, gl tho!!
glacial matrix
But don’t worry I understand the formula
It’s just that I don’t understand how to solve the whole thing
static hare
@glacial matrix say each of our 7 had a number, and you chose a committee by calling out one by one the number of every person on the committee, say 1,3,4,7
would calling out 3,1,7,4 be a different committee?
glacial matrix
I’m not sure about my answer but maybe yeah since it’s in different orders
static hare
but is it a different committee?
glacial matrix
No?🙏
static hare
it's still the same members, right?
glacial matrix
Yeah yeah just unordered
static hare
a committee doesn't have an order of members
static hare
if you chose 1 and then 3 you'd still end up with the same committee as if you chose 3 and 1, right?
does that make sense?
they end up in the same meeting room regardless
glacial matrix
Yeahhh
static hare
great, so question 1 is answered, we don't care about order
as in, 1,3,4,7 is the same as choosing 7,3,4,1
now, can we have any repeats
glacial matrix
So what do I put?😭
static hare
patience
glacial matrix
OHHH WAIT OKIEE
static hare
I want to explain the logic behind this
static hare
now, can we have any repeats
as in, is 1,1,3,4 a valid choice?
glacial matrix
No
static hare
correct
glacial matrix
Yay
static hare
so we cannot have any repeats
glacial matrix
Mhmmmmm
static hare
for this kind of question, we have the "choose" function (often called the binomial function) which answers the question how many ways can you choose groups of size n out of a bigger group of size m without repeats and without caring about order
for example, ${5 \binom 3}$ (also sometimes written $^5C_3$ and is said out loud as "5 choose 3") is the amount of ways to choose groups of 3 ppl out of a bigger group of 5 without caring about order and without repeats
acoustic orchidBOT
ξor.
for this kind of question, we have the "choose" function (often called the binomial function) which answers the question how many ways can you choose groups of size n out of a bigger group of size m without repeats and without caring about order
for example, ${5 \binom 3}$ (also sometimes written $^5C_3$ and is said out loud as "5 choose 3") is the amount of ways to choose groups of 3 ppl out of a bigger group of 5 without caring about order and without repeats
```Compilation error:```! Argument of \@genfrac has an extra }.
<inserted text>
\par
l.61 for example, ${5 \binom 3}
$ (also sometimes written $^5C_3$ and is said...
I've run across a `}' that doesn't seem to match anything.
For example, `\def\a#1{...}' and `\a}' would produce
this error. If you simply proceed now, the `\par' that
I've just inserted will cause me to report a runaway
argument that might be the root of the problem. But if
your `}' was spurious, just type `2' and it will go away.```
static hare
,w 7c4
acoustic orchidBOT
static hare
yes
glacial matrix
Yayyy
static hare
but do you understand why we use the choose?
glacial matrix
Yupperssss
static hare
you should've derived it in class
glacial matrix
Yup yup I will if they call me HHAAHHAHAHA
static hare
explaining why it works is a bit over my ability on discord
glacial matrix
ikr
static hare
for ease of access
glacial matrix
4845 ways
glacial matrix
None anymore heheh thank youuuuu