What ? From where did this came from ? Permutations , probability ?
And are you sure ? According to you : AB : 50% , and ;AA and BB: 25 % each.
But teacher says : AB : 70% , and ;AA and BB: 15 % each.
And also , is it not clear from reaction 3CH3Cl + 6Na + 3C2H5Cl ----> 6NaCl + C4H10 + C2H6 + C3H8 that all the products are being formed in ratio 1:1:1 ?
The 50% is the probability. Think about it. If sodium made an anion from CH3Cl, there would be an equal chance of it reaction with another CH3Cl or C3H7Cl. An initial reaction of the C3 chloride would give the same probabilities.
Now I am going to assume that a 70% yield can be obtained as indicated by teacher. There may be a difference between the equation and the experiment. For example, let us assume methyl chloride reacts much faster with sodium at propyl chloride. Then if methyl chloride were added slowly to the reaction mixture, when it formed its anion, it would find a greater concentration of propyl chloride to react with and thus increase the ratio of butane.
The difference between these is how the problem is described. It has been presented as dump them all together and let probability take over, 50% butane. I have never run a Wurtz coupling so I don't know the rates of the reaction nor how it is actually carried out. 70% sounds similar to the 50% and seems okay to me.
Re: organic confusing
I don't think of it as confusing, per se. The incompleteness of the physics atomic structure, or the experiment may leave a gap that we try to explain. You may think of it to be similar to your problem, "How could the Wurtz coupling give a 70% yield of te mixed product?"