Consider the set of northwestern states or provinces {Montana, Washington, Idaho, Oregon, Alaska, British Columbia, Alberta}. If a person chooses one element, show that in three yes or no questions, we can determine the element.

Hmmmm. What is an element?

To determine an element from the given set using three yes or no questions, we need to find a distinguishing feature that can separate all the elements from each other. In this case, we can use the first letter of each element as our distinguishing feature.

Here's an approach to determine the element:

**Question 1:** Is the first letter of your chosen element in the first half of the alphabet?
- If the answer is "yes," it means the first letter can be any letter from A to M (including A and M). This eliminates the following elements: **Oregon, Alaska, British Columbia, and Alberta**.
- If the answer is "no," it means the first letter can be any letter from N to Z. This eliminates the following elements: **Montana, Washington, and Idaho**.

**Question 2:** Is the first letter of your chosen element closer to A than to M in the alphabetical order?
- If the answer is "yes," it means the first letter can be any letter from A to F (including A and F). This eliminates the following elements: **Oregon and Alaska**.
- If the answer is "no," it means the first letter can be any letter from G to M (including G and M). This eliminates the following elements: **British Columbia and Alberta**.

**Question 3:** Does the first letter of your chosen element come after F in the alphabetical order?
- If the answer is "yes," it means the first letter can be any letter from G to M (including G and M). This eliminates the following elements: **Alaska**.
- If the answer is "no," it means the first letter can only be F. Therefore, the element chosen is **Oregon**.

By asking these three questions, we can determine the chosen element from the set.