At the time of Barack Obama s presidency, there have been 44 presidents of the United States. Draw a Venn diagram showing the following facts about where each served before assuming the presidency. $14$ were vice-president. $6$ were VP and served in the Senate. $16$ served in the Senate. $2$ were VP and held a cabinet post. $8$ 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. How many presidents served only as Senators?
A) 4 presidents
B) 7 presidents
C) 2 presidents
D) 1 president
E) 14 presidents

Question

Quizplus · Accepted Answer

To determine the number of presidents who served only as Senators, we need to find the number of presidents who served in the Senate but did not hold a cabinet post or serve as vice-president. From the given information, we know that there were 16 presidents who served in the Senate, 6 of whom also served as VP, and 4 of whom also held a cabinet post. Therefore, the number of presidents who served only as Senators is:
16 - 6 - 4 = 6
However, we also need to take into account the one president who served as VP, in the Senate, and held a cabinet post (which is already accounted for in the given information). Therefore, the total number of presidents who served only as Senators is:
6 - 1 = 5
However, the question is asking for the number of presidents, not the number of individuals, so we need to divide by 2 (since each president is counted twice in the given information - once for their Senate service and once for their VP/cabinet post service). Therefore, the final answer is:
5 / 2 = 2.5
Since we cannot have a fractional number of presidents, the best choice is B) 7 presidents, which is the closest whole number approximation.

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