Melody

I got it. I think I really have got it. 

I  hope these probability/combination/permutation questions keep coming in, I want more practice .    

Thanks again Bertie :)

Thanks Bertie, I think I understand perfectly now.  Hopefully I will get it right next time. 

No I really do think I have it.

I would do the second one a little differently.  I'd stick to the 6 possible permutations but I would halve the number of combinations.  It would be easy to miss though. :/

I haven't tried the 2,2,2, on yet - that will be the test LOL  

I don't know Naus,  I still have a problem with this:

$$\;. \hspace{15pt} \displaystyle \text {c)\; 20 } \hspace{15pt}\leftarrow \hspace{15pt} \left( {\begin{array}{*{20}c} N+k-1 \\ k \\ \end{array}} \right) = \underbrace{\dfrac{(N+k-1)!}{k!}}_{Dist. \ box \ Indist. \ candy }\; \hspace{15pt}| \hspace{15pt} \Text {N=4 \; k=3} \\\\$$

    $$^{(N+k-1)}C_k = \frac{(N+k-1)!}{k!(N+k-1-k)!}=\frac{(N+k-1)!}{k!(N-1)!}$$       

That is still not your formula  :/

But Nauseated, you are confusing me.

$$\;. \hspace{15pt} \displaystyle \text {c)\; 20 } \hspace{15pt}\leftarrow \hspace{15pt} \left( {\begin{array}{*{20}c} N \\ k \\ \end{array}} \right) = \underbrace{\dfrac{(N+k-1)!}{k!}}_{Dist. \ box \ Indist. \ candy }\; \hspace{15pt}| \hspace{15pt} \Text {N=4 \; k=3} \\\\$$

$$nCk = 4C3 = \frac{4!}{3!1!}=4$$        

@@ End of Day Wrap    Tues 24/3/15   Sydney, Australia    Time 8:15 pm   ♪ ♫

Good evening,

Today our wonderful answerers  were Alan, CPhill, Bertie, Geno3141, MathGod1, Rosala, Jericho, Heureka, TayJay, Gibsonj338, watto, Yoselinedilla, hipbanana and SweatyPerson666.  Thanks everyone. 

The forum was very busy but Chris and I were not answering for much of the day so there are a lot of unanswered question.  I have included a few of the most interesting unaswered ones in the intererest posts. :)

Interest Posts:

25/3/15

Did you actually watch the clip MG.  Your comments do not seem to be related.  :)

$$\\x^8=2\\\\
x=2^{1/8}\\\\
x=\sqrt[8]{2}$$

120% of x = 30

1.20x=30

x=30/1.2

$$\\-9(x-3)-7=20 \\\\
-9x+27-7=20\\\\
-9x+20=20\\\\
-9x=0\\\\
x=0$$