Need Help

[safe palm]

<@&286206848099549185>

[coral rose]

do you know the formulae for nCr and nPr?

[safe palm]

Ye

[coral rose]

have u found r?

[safe palm]

Yes

r = 4!

[coral rose]

so that gives us n!/(n-4)! = 3024 correct

using nPr = 3024

[safe palm]

Yes

Yes

[coral rose]

can you simplify that any further?

[safe palm]

n (n-1) (n-2) (n-3) = 3024

Correct?

And i can't simplify any further

I got stuck here

[safe palm]

What after this?

[coral rose]

well if u have access to a basic calculator you can use the rational root theorem and test with values until the equation is satisfied

without one it would be a bit involved

[safe palm]

I have a calculater

But pls can u show me how to do it

I got n = 1515

Which I don't think is right

[coral rose]

if your calculator has a solver function you could just put in the equation

x(x-1)(x-2)(x-3) = 3024

and solve for that

otherwise just test with different values of n until the equation is satisfied

[safe palm]

.solve x(x-1) (x-2) (x-3) = 3024

[merry sail]

just expand it out and use rational root theorem as inf suggested

as perms and combs only deal with integer selections and selectors

hence n is an integer

and n >0

[safe palm]

I have no idea what's rational rotor theorem

[merry sail]

will there be a constant term though?

[coral rose]

3024

is the constant term

[merry sail]

true

and if r=4!

24

n>24

and an integer

[coral rose]

sorry misread your thing

r = 4

[merry sail]

yeah

[coral rose]

n > 4

[merry sail]

yeah

[coral rose]

oh

it's 4 not 4!

[merry sail]

yeah

[safe palm]

Can u guys do it?

[merry sail]

i was tripping lol

r! = 4! ?

so r = 4?

[coral rose]

we can't solve everything for u but basically just try every value until the equation works

obviously n can't be less than 4

[coral rose]

so try putting n = 5 in this equation

then n = 6

n = 7

[merry sail]

blud what

[coral rose]

so on until the equation is satified

[safe palm]

r = 24 I break it down to r = 4!

[merry sail]

r = 24?

[coral rose]

he doesn't know the rational root theorem

r = 4 right

r! = 24

3024/126 = 24 (nPr / nCr)

that gives us r! not r

[safe palm]

r! = 4!

[coral rose]

yes

so r = 4

[safe palm]

I mean i can break it down futher

But that would take a lot of time

[coral rose]

you don't need to if u have a scientific calculator with equation solving capabilities

if you don't then expanding and trying with values is basically the only way

[safe palm]

,calc x(x-1)(x-2)(x-3) = 3024

[velvet gorge]

The following error occured while calculating:
Error: Invalid left hand side of assignment operator = (char 18)

[safe palm]

,calc x (x-1) (x-2) (x-3) = 3024

[velvet gorge]

The following error occured while calculating:
Error: Invalid left hand side of assignment operator = (char 21)

[safe palm]

,calc x (x-3)! = 3024

[velvet gorge]

The following error occured while calculating:
Error: Invalid left hand side of assignment operator = (char 10)

[upper arrow]

Just factorize 3024 and try to distribute the factors to fit the lhs

[safe palm]

I have to no idea how

[merry sail]

n=9

from pascal's triangle

[safe palm]

No idea what's Pascal triangle

[merry sail]

n=9 is your answer

[safe palm]

n = 9 or n = 9!?

[coral rose]

n = 9

not 9!

[safe palm]

Btw I don't need answer

I need steps

[merry sail]

bruv

it's just finding the roots of n(n-1)(n-2)(n-3) - 3024 = 0

[coral rose]

my guy we legit gave you like 3 ways to do it

[merry sail]

which is just cancerous

[coral rose]

well he said he has a calc

so it wouldn't be very hard

[safe palm]

I don't have a scientific calc

[coral rose]

still works

[merry sail]

what's he quoting on paper though lmao

"guessing answer with calculator"

[coral rose]

true

[upper arrow]

Prime factors are 2^4* 3^3*7

[safe palm]

I don't know what's Pascal's theorem

I have no idea what's Rational root

[coral rose]

u can do prime factorization and try to plug in values though right?

that was suggested too

[safe palm]

Okay so

[merry sail]

has your class been taught rational roots theorem before?

[safe palm]

n (n-1) (n-2) (n-3) = 2^4 * 3^3 * 7

[merry sail]

or pascal's triangle

[safe palm]

Nope

[upper arrow]

6 7 8 9

[merry sail]

have you covered polynomials yet

[safe palm]

I m not from Maths field

I am just trying maths for fun

[merry sail]

oh lol

[safe palm]

Trying to expand my knowledge

[upper arrow]

If ur a beginner it's best if you stay simple for now

[safe palm]

Nah I was given this question

By my friends

[merry sail]

9 8 7 6 would make my sense

visually

[safe palm]

9 8 7 6 is 9! Right?

[merry sail]

rhs = 9 x 8 x 7 x 6

let n= 9

and you get lhs

so n = 9

[safe palm]

Oh

Thanks finally

Finally I got the answer

[merry sail]

because you want to represent rhs as product of 4 consecutive integers

and the largest integer is n

as lhs is n(n-1)(n-2)(n-3)

@safe palm

do .close

[safe palm]

Thanks buddy

Have a great day

[merry sail]

np

do .close

like use that command please

[safe palm]

.close