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I mightve confused people with the title, it might not necessarily be a premutation question in regards to the problem. My assumption was that it is a premutation question but im not entirely sure. It could be either premutation or combination i guess. Which one does it come closer to? Try to solve it disregarding the title!

Yep, Melody...your answer is correct if we consider that the b***s are indistinguishable....

Alan and I have taken the "numbered" ball approach in considering permutes.....

Which is "correct??"

...Depends upon your assumption.....

The title of the question is PERMUTATION.

So order DOES count    

With permutation questions the b***s are usually marked with invisable numbers so that the 3 black b***s can be thought of seperately.  This is necessary if you are going to compute probablities from it.  This is what chris and Alan attempted to do  (their answers may well be correct - I have not thought that through yet)

HOWEVER if you are only interested in the outcomes and not the probabilities attacked to them I am still standing by my answer of 19.

The question asker could have considered this either way BUT order definitely counts.  Quite likely it was not my answer of 19 that they were looking for.

Chris did you look at the working for my answer of 19.  I simply looked at the possibilities and added them together.  My logic is very straight forward.  

@@ End of Day Wrap      Sat 31/1/15        Sydney, Australia         Time 1:35 am (Really Sun morning)

Hi all,

Lots of fantasic answers today from Heureka, Sasini, Raka226, Alan,DavidQD, Rosala, Happy7, CPhill, TayJay, JoeySmiles, Trincent, Tiddle Saseflower and gliu1.  You are all wonderful.  Thank you.  

Interest posts:

Sun 1/2/15

I think that you would look beautiful too Rosala :)

But the post was really funny - thanks Chris 

And Naus, your post is hilarious.

Maybe I should try pine tar and motor oil, but my hair is not black, it might look better on Rosala and Sasini.    

Thanks Alan  

Thanks anon,   

This is what Sydney's Life Savers look like.  

Thanks DavidQD,

I remember that snark question.

"How much tax would be on 113.98 at 9%"

I didn't mind the kids playing with it but I remember I became concerned because it was appearing with wrong date stamps and I though the web2 forum program had been hacked.  This is an interesting explanation of why that happened.    

3a + 4a -(5*3) /2

3a + 4a -(15)/2

7a - 7.5

318559.441135

i dont like sin, not good for me, cos nah not a big money spender, then how about tan, tan is not bad, tan from my side!

i dont know......i really dont like that game....its boring...ive played it...still my brother is mad for it!

crazy game!

i dont think this is a serious qestion!im not answering it!

if it is then tell me?

wow......the topic changed from PTM to sorries and anons and whiteouts!

well, thanks CPhill and Dragon....tho i dont know exactly what you wrote still thanks!

oh CPhill, your making me feel embarrased......i think i would still look .......beautiful.....but not more than i loook with think long black hair!

Alan I had an answer similar to your first one but I got in a mess and scrubbed it.

If you are looking at this from a probabliliy perspective  I think that (or something very similar ) would be correct

but

from the choosers point of view without worrying about probabilities there are 19 possible outcomes.

So Ultmage  your answer is not correct.    

This is my 2 cent worth 

There are a number of was to look at this question.  If it was part of a probablitiy question you would assume every ball was numbered as well as coloured

BUT this is NOT a probablily question so I am going to interprete it differently

Added after:  The title is Permutation which means that Order Does Count

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First interpretation:  order does not count.  Here are my choices.    

BBB, BBR, BBW, BRR, BWW, BRW         That makes 6 outcomes

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Now I am going to look at if order does count.

Here are the choices

BBB

BBR or BBW

BRB or BWB

RBB or WBB

Now if I  chose just 2 non-black ones then I can have  WW,WR,RW, or RR  now the black one can be 1st second or third      so that is   4*3=12

Total = 1+6+12=19 ways       [This is the only one with any validity out of my 3]

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NOW LETS LOOK AT IT FROM AN ORDER DOES NOT COUNT PROBABILITY PERSPECIVE

Total number of ways that you can choose 3 b***s from 9 is 9C3=84

Total number of ways of not choosing any black ones is   6C3 = 20

There for total number of ways of haveing a black one in the mix must be 84-20=64

(This is the same answer as most the others got I think)

Lets do this the long way and see if there is any agreement

all black   3C3=1

2black and 1 other = 3C2*6C1=3*6=18

1black and 2 other = 3C1*6C2=3*15=45

1+18+45=64                                      GOOD IT IS THE SAME

P(choosing at least 1 black out of 3 where order doesnt count.) = 64/84

64 IS NOT THE CORRECT ANSWER BECAUSE THE TITLE OF THIS QUESTION IS PERMUTATION.

64 IS THE ANSWER TO A COMBINATION QUESTION SO IT IS NOT CORRECT  !!

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Now how about if order does count from a proabability perspective

It is all getting a bit much now.     

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I just shave my head....

Mmmmm....I wonder what a"bald" rosala would look like???

Im sorry Cphill. That anon made me mad, thats why I write that to him.

The other two "answers" were "whited" out by me, rosala....they weren't fit for your eyes....

it says 4 answers but i only see 2, whats the matter?

has the site started breathing or what?