I am playing with this without really looking at the other answers - or if I did I have forgotten.
I just want to see if i get the same answer. :/
12 identical b***s
9 boxes
at least one ball in each box
so really the problem is just the same as 3 identical b***s in 9 boxes
All in the same box that is 9 ways
2 in one box and 1 in the other 9*8 = 72 or 2*9C2=72
all in different boxes maybe that is 9C3 = 84 ways
Total number of ways is 9+72+84 = 165
WOW I got the same answer as Alan and Nauseated. ヽ(•‿•)ノ
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Now Alan I do not understand your sigma notation. Could you talk about that please :/
And Nauseated. I still don't get where your formula came from either, did you just pluck it off the magic tree, like a golden apple? :/
@@ End of Day Wrap Thurs 2/4/15 Sydney, Australia Time 3:55 am [Definitely Fri :)] ♪ ♫
Hi all,
Great answers today from MathsGod1, CPhill, Alan, Eannehail, Bertie, Mathcad, Willie, Garmoon, Dgem250, Geno3141 and Civonamzuk.
Interest posts:
1) A counting exercise that a logical person of any age can try. It is not easy though.
Melody
2) Another contentious counting exercise. We need more input please. Thanks CPhill and Melody
3) Simultaneous Equation - great explanation and good for revision Thanks Alan
4) Finding a limit. Thanks Alan
5) Why is -5^2=-25 ? Thanks CPhill
6) Finding the pattern Thanks CPhill
7) Basic combination counting question Thanks CPhill
8) Order of operation - A good one for younger ones to practice on Thanks CPhill
9) Bernoulli (Binomial ) probability with logs Melody
10) What is i ? Thanks Geno
11) Probability ok for middle high school Thanks Geno
12) A grid counting exercise - you can do it without formula - give it a go.
Thanks Melody and CPhill
13) Where is the alien spaceship going to roll ? Thanks Bertie
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫
3/4/15
FTJ means "For the Juniors"
1) Using remainder theorem with polynomials Thanks CPhill and Melody
2) Visualizing in 3D Thanks Geno.
3) Simultaneous Equation - making sense of words Thanks Alan
4) Tricky ratio question. Thanks Geno3141
5) This looks like a good counting one FTJ Thanks Geno
6) A tricky year 8 function question. :/ Geno
7) Angular velocity - for everyone Thanks CPhill
8) Finding the factors of quadratics Thanks CPhill and Melody
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫