I haven't looked at the solutions yet, but I don't think I did very well.

Problem 1: 
Not sure about my answers, especially for (b) where I couldn't find a
closed form, and I didn't have enough time to give an explanation for
partial credit.

Problem 2:
I thought this was a nice question though I spent too long on it.
I guess there may not be unique answers, but that's okay.

Problem 3:
This was broken down nicely and was certainly doable.

Problem 4:
Good.  and quick to do.  Some of these were from last year's quiz or
something else they should be reviewing, so that's good for those who did
all the preparation.

Problem 5:
I got thrown off with (a) since it asks for the number of possible
digit distributions where the problem setup didn't talk about anything
but two sequences having the *same* digit distribution.  So I thought
I was supposed to find the number of sequences with the same digit
distributions, and especially because it was worth 14 points.