Good questions all.
Here's some answers. Yes Dr. Seuss counts. All books count.
Yes, the question is meant to be hard.
We are supposed the heck to remember by going back in our memory and tabulating what we find there. The apparent circularlity is part of what makes this hard.
The only change I may have made is expanding the choices above the count I used.
No, I can't remeber, yet, how many books I have read.

(let alone remeber how to type remmber.

)
----------------

semantics is not always just pedantic quibbling. ~ douglas r. hofstadter