Concerning the first 41 presidents of the United States we know the following facts: Eight held cabinet posts, 14 served as vice-president, 15 served in the U.S. Senate, 2 served in cabinet posts and as vice- president, 4 served in cabinet posts and in the U.S. Senate, 6 served in the U.S. Senate and as vice- president, and 1 served in all three positions. a. How many presidents served in: ___ none of the 3 positions?___ only in the us senate?___ at least one of the three positions?___ exactly two positions? b. Draw a Venn Diagram to represent the information.
Answer (1)
Answer:Step-by-step explanation:1. Draw the Venn Diagram first to better understand the problem. Named each circle corresponding to 3 positions (Cabinet, US Senate, Vice-President)2. List down the given numbers:8 held cabinet posts 14 served as vice-president 15 served in the U.S. Senate 2 served in cabinet posts and as vice-president 4 served in cabinet posts and in the U.S. Senate 6 served in the U.S. Senate and as vice-president 1 served in all three positions 3. List down a number on diagram while counting the numbers of presidents that run on each position, you have 3 positions so you have to create 3 circle for triple diagram 4. Start from the inner circle to outer to easily diagram the problem5. The answers should bea. None of these three positions: 15b. Only in the U.S. Senate: 6c. At least one of the three positions: 26d. Exactly two positions: 9
