p1: "pinpoint exactly" is a bit vague. Do you want something like "induction step is wrong" or the step from n=1->2 is not true. Maybe slightly rephrase what you are asking for. p3: how do people get partial credit on part a? part b can be answered using intuition too (1/2 and 1/2 eventually). Is that answer accepted? p4: part c might be a pain to grade. I don't think it is necessary. give more points to b. If they get inc-excl then they get it right anyway. If not, in order to get it right, they will waste a lot of time. p5: part b typo: in how many (ways) can you ... p6: isn't that a pset problem? part (c): You "may" express... Is that in case they don't get part b? Otherwise, it might confuse them. p7: I think part b deserves more points, since they need to find the indicators and so on... p9: I don't know why we have this problem there. What are we testing with this one? I am looking now at the rest. I will put a no.2 file as soon as I am done. nikos