I want a free lunch (1 Viewer)

[spatula232]

So yesterday our math teacher said if we could solve this, he'd buy us lunch...

How many solutions to:
a+b+c+d=6
Where a, b, c and d are positive integers (can be 0), and the same number can be repeated (i.e. a, b, c and d could all equal 1)

 

[InteGrand]

So yesterday our math teacher said if we could solve this, he'd buy us lunch...

How many solutions to:
a+b+c+d=6
Where a, b, c and d are positive integers (can be 0), and the same number can be repeated (i.e. a, b, c and d could all equal 1)

Kind of cheap if you don't solve it yourself and ask for lunch. lol

 

[sheroom]

Give me 10 minutes I can figure this one out and give an equation that you can use.

 

[kawaiipotato]

What Integrand said.l
But
A similar question could be
How many ways can you place 'n' cats into 'n-2' cages?

 

[el_manu]

answer is 24.

 

[sheroom]

answer is 24.

That is just blatantly wrong.

 

[rand_althor]

That is just blatantly wrong.

Is it 84?

 

[sheroom]

Is it 84?

Something like that.

 

[BlueGas]

lol, you should have not posted that you'll get "free lunch" so you'll actually get help haha.

 

[BOS Secret Service]

Answer is 360. lol jk.

 

[InteGrand]

lol, you should have not posted that you'll get "free lunch" so you'll actually get help haha.

lol that'd be even more cheap.

 

[BlueGas]

lol that'd be even more cheap.

I'm sure he could deal with not sleeping for a few nights haha.

 

[Squar3root]

I got probably wrong but I tried

 

[Drsoccerball]

So yesterday our math teacher said if we could solve this, he'd buy us lunch...

How many solutions to:
a+b+c+d=6
Where a, b, c and d are positive integers (can be 0), and the same number can be repeated (i.e. a, b, c and d could all equal 1)

As my physics teacher says, "In this universe there is no free lunch"

 

[Drsoccerball]

What Integrand said.l
But
A similar question could be
How many ways can you place 'n' cats into 'n-2' cages?

Would this answr be (n-2)^n

 

[kawaiipotato]

Would this answr be (n-2)^n

Don't think so. the cats are indistinct

 

[Drsoccerball]

Don't think so. the cats are indistinct

Exactly so stars and bars method doesnt work its similar to the HSC 2004 question 5bi) for this question the answer will be (n-2)^n

 

[Drongoski]

I think this is a Partitioning = Occupancy problem. 84 is correct.

For this question:

No of ways =

 

[BlueGas]

Enjoy your free lunch.

 

[braintic]

Exactly so stars and bars method doesnt work its similar to the HSC 2004 question 5bi) for this question the answer will be (n-2)^n

That's the answer if the cats are distinct.