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.

See the Related Questions below.

To answer this question, we can draw a Venn diagram to visually represent the information given. A Venn diagram consists of overlapping circles that represent different sets of data. In this case, we will have three circles representing the following categories: Vice-President (VP), Senate, and Cabinet.

First, let's draw three overlapping circles to represent these categories. Label the circles as VP, Senate, and Cabinet, respectively.

Now, let's add the given information to the diagram:

1. There were 14 presidents who served as Vice-President.
- Draw a label of "14" in the area where the VP circle overlaps with the rest of the diagram.

2. There were 6 presidents who served in the Senate.
- Draw a label of "6" in the area where the Senate circle overlaps with the rest of the diagram.

3. There were 15 presidents who held a cabinet post.
- Draw a label of "15" in the area where the Cabinet circle overlaps with the rest of the diagram.

4. There were 2 presidents who served as Vice-President and in the Senate.
- In the intersection of the VP and Senate circles, write "2."

5. There were 8 presidents who served as Vice-President and held a cabinet post.
- In the intersection of the VP and Cabinet circles, write "8."

6. There were 4 presidents who served in the Senate and held a cabinet post.
- In the intersection of the Senate and Cabinet circles, write "4."

7. Finally, there was 1 president who served as Vice-President, in the Senate, and held a cabinet post.
- In the intersecting area of all three circles, write "1."

Now that we have filled in the diagram with all the given information, count the number of presidents in the area where the VP and Senate circles overlap but do not overlap with the Cabinet circle. In this case, the number is 2.

Therefore, the answer to the question is that 2 presidents served as Vice-President and in the Senate but did not serve in a cabinet post.