Challenging Mathematical Problems with Elementary Solutions, Vol. I (Dover Publications Inc.)

I. Introductory problemsII. The representation of integers as sums and products III. Combinatorial problems on the chessboard IV. Geometric problems on combinatorial analysisV. Problems on computing probabilities VI.

Problems on the binomial coefficientsVII. Experiments with infinitely many possible outcomesVIII. Experiments with a continuum of possible outcomes