Algebra

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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.

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