There Have Been $44$ US Presidents $14$ Were Vice-President $6$ Were VP and Served in the Senate

There have been $44$ U.S. presidents. In order to help you answer the question below, 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 in the Senate and held a cabinet post, but never served as vice-president? __________ president(s)