mmmmmoooooorrrrrrreeeeeeeeeee (1 Viewer)

-=«MÄLÅÇhïtÊ»=-

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hey! dats it!

I reread ur post blackjack, soz didnt c it b4
"But what about instances when you could choose either E, which counts as two ways but generate identical results? Who knows..."

Dat's easy. If u have 1 E, den u have 6 more letters left to go in 2 spaces. The E can go infront, in between, or after the 2 spaces

So combos of 1 E which will repeat = 6 x 5 x 3 = 90

8p3 - 18 - 90 = 228
ie. spicegals answer!

This explains everything. I couldnt work out why the 2 methods were getting separate answers, but after reading ur quote everything fits in!
 

McLake

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Originally posted by spice girl


remember order doesn't matter, it's a basket of fruit - i forgot to mention this...
I still think its 4^11 (4 options, 11 times).

Is this not right?

Another hint?
 

spice girl

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all the apples are the same

and the same goes with the other types of fruit

So you don't have 44 different types of fruit
 

McLake

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Originally posted by spice girl
all the apples are the same

and the same goes with the other types of fruit

So you don't have 44 different types of fruit
So why not 4*4*4*4*4*4*4*4*4*4*4 = 4^11 ?
 

BlackJack

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Doing this NOT with Combination:
Use the end results of the 11 picks. And separate into groups with most no. of one fruit:
Sum and muliply by 4
Possible cases:
11,0,0,0
10,1,0,0 *3
9,2,0,0 *3
9,1,1,0 *3
8,3,0,0 *3
8,2,1,0 *6
8,1,1,1
7,4,0,0 *3
7,3,1,0 *6
7,2,2,0 *3
7,2,1,1 *3
6,5,0,0 *3
6,4,1,0 *6
6,3,2,0 *6
6,3,1,1 *3
6,2,2,1 *3
Some of them are more special (think about it):
5,5,1,0 *3
5,4,2,0 *6
5,4,1,1 *3
5,3,3,0 *3
5,3,2,1 *6
5,2,2,2
4,4,3,0 *3
4,4,2,1 *3
4,3,3,1 *3
4,3,2,2 *3
3,3,3,2

Sum= 91 * 4
=364 different combinations of fruit.
*You must think I'm a fruitcake to do that*
 

BlackJack

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44C11 gives around 7.67 billion.
---
4^11 means that order DOES matter... (apple aorange, apple.... Orange, apple, apple... etc.) and order doesn't. Also, there are so MANY repeats it's not funny.

Yeah, it's surpirisingly small considering 11 pieces.
 

Lazarus

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Oh, I remember how to do these questions... you have to use fences or something. I forget what they're called.

Suppose that one of the samples is:
AOOPWWPPAAW

Group similar items together and order them:
AAAOOPPPWWW

Write it with fences:
AAA|OO|PPP|WWW

This can be written as:
000|00|000|000
and we know what combination of fruit it has (because it was ordered).

So now the question becomes, how many ways can you write those 14 symbols (11 0's and 3 |'s)?

The answer is:
14!/(11!3!)

= 364.

So yeah, nice work BlackJack. ;)
 

McLake

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Originally posted by Lazarus

So now the question becomes, how many ways can you write those 14 symbols (11 0's and 3 |'s)?

The answer is:
14!/(11!3!)

= 364.

So yeah, nice work BlackJack. ;)
Damn, that's low.

Damn you BJ.

Damn.

BTW, is that a uni-level maths technique ("fences")?
 

BlackJack

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Laz: Interesting method... I'll make a note of that... *writes*
McLake: Now that's enough, you know you could've done the hard work.
Malachite: That worshipping avatar is... disturbing... almost as disturbing as :headbang:
 

Lazarus

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Originally posted by McLake
BTW, is that a uni-level maths technique ("fences")?
No... I remember our 3u maths teacher showed it to us during one (1) lesson and I'm fairly certain we never ever used it, or we forgot about it and got all those questions wrong. :p
 

-=«MÄLÅÇhïtÊ»=-

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kewl

so spicegal how would u have done that ques?


BJ...i find that offenssive. Uno that happens to be wat i look like!
 

Dumbarse

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lazarus will that 'fences method' always work??

u know how u just made up a c0ombo
"AOOPWWPPAAW"

what about when it doesnt contain all different fruit, what about if u got, AAAAAAAAAAA ??
then theired be no fences??
does it account for this??
 

McLake

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Originally posted by underthesun
That was a really good method. Why didn't they teach that? It makes so much logic it's easy to learn. :cool:
Teach logic, how illogical ...
 

kaseita

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what about when it doesnt contain all different fruit, what about if u got, AAAAAAAAAAA ??
then you've got one way
unless they're all different apples, which you should know already how to figure out.

how do you do the whole quoting from ppl thing?
I can only figure out this normal quote thing.
 

BlackJack

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Originally posted by -=MLhtʻ=-
kewl
BJ...i find that offenssive. Uno that happens to be wat i look like!
I apologise then... (a *sorry* smilie) I come from an extreme minority, and have minority opinions, don't mind me too much.

Kaseita, there's a button beside each post that allows you to quote that post, after the edit function.

For an AAAAAAAAAAA, the symbol is one of:
00000000000|||
|00000000000||
||00000000000|
|||00000000000
Depending on the type of fruit.
 

kaseita

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Originally posted by BlackJack


I apologise then... (a *sorry* smilie) I come from an extreme minority, and have minority opinions, don't mind me too much.

Kaseita, there's a button beside each post that allows you to quote that post, after the edit function.

For an AAAAAAAAAAA, the symbol is one of:
00000000000|||
|00000000000||
||00000000000|
|||00000000000
Depending on the type of fruit.
hehe wow mad :D
thats still one way though, cause the fences are imaginary :)
oh well, 4 ways if your talking about all four fruit.
 

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