The “34 people in the garden riddle” is a classic logic puzzle that asks one to determine the relationship between a group of people and the garden they are in. The riddle goes as follows: 34 people are in a garden. Half of them are women, and half of them are men. Half of them are wearing hats, and half of them are not wearing hats. Half of them are smoking pipes, and half of them are not smoking pipes. All of the women are wearing hats. All of the men are smoking pipes. How many people are both wearing hats and smoking pipes?
The answer to the riddle is 17. To solve it, one must use deductive reasoning to determine the number of people in each category. For example, since all of the women are wearing hats, and half of the people are women, it follows that 17 people are women and 17 people are wearing hats. Similarly, since all of the men are smoking pipes, and half of the people are men, it follows that 17 people are men and 17 people are smoking pipes. Therefore, the number of people who are both wearing hats and smoking pipes is 17.