At the time of George W.Bush's presidency, there have been 43 presidents of the United States. Draw a Venn diagram showing the following facts about where each served before assuming the presidency. How many presidents served as vice-president and in the Senate, but did not serve in a cabinet post?
14 were vice-president.
6 served in the Senate.
15 held a cabinet post.
2 were VP and served in the Senate.
8 were VP and a held a cabinet post.
4 served in the Senate and held a cabinet post.
1 was VP, in the Senate, and held a cabinet post.
yes How?
To draw a Venn diagram to represent the given facts about the presidents of the United States, we will start by creating three overlapping circles representing the three categories: vice-president (VP), Senate (S), and cabinet post (C).
Here's how you can construct the Venn diagram:
1. Begin by drawing three circles that overlap with each other, representing VP, S, and C. Make sure that the circles overlap in a way that allows for the given facts to be represented accurately.
2. Label each section that is created by the overlapping circles with the relevant numbers from the facts provided.
- The leftmost section should be labeled with the number 14, representing the presidents who served as vice-president (VP).
- The upper-right section should be labeled with the number 6, representing the presidents who served in the Senate (S).
- The rightmost section should be labeled with the number 15, representing the presidents who held a cabinet post (C).
3. Next, fill in the overlapping sections with the relevant numbers based on the given facts.
- The section where the VP and S circles overlap should contain the number 2 (presidents who were both VP and served in the Senate).
- The section where the VP and C circles overlap should contain the number 8 (presidents who were both VP and held a cabinet post).
- The section where the S and C circles overlap should contain the number 4 (presidents who both served in the Senate and held a cabinet post).
4. Finally, locate the region where all three circles overlap. This section, where VP, S, and C circles intersect, should contain the number 1, representing the president who served as VP, in the Senate, and held a cabinet post.
By following these steps, you can accurately draw the Venn diagram representing the given facts about the presidents' service history. Based on the diagram, you can determine the number of presidents who served as VP, in the Senate, and did not hold a cabinet post.