Choice and Chance. An Elementary Treatise on Permutations, Combinations, and Probability, with 640 Exercises.

Cambridge:: Deighton, Bell, 1886., 1886. Fourth edition, enlarged. 8vo. viii, 299, [ads.] 16 pp. Figs. Original maroon cloth, gilt spine; inner hinges cracked (repaired with kozo), spine ends slightly frayed. Good. Whitworth "published works about the logarithmic spiral and about trilinear coordinates, but his most famous mathematical publication is the book Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability (first published in 1867 and extended over several later editions). The first edition of the book treated the subject primarily from the point of view of arithmetic calculations, but had an appendix on algebra, and was based on lectures he had given at Queen's College. Later editions added material on enumerative combinatorics (the numbers of ways of arranging items into groups with various constraints), derangements, frequentist probability, life expectancy, and the fairness of bets, among other topics".