2. Some rebel pilots were surveyed to determine what they thought of different star ghters. The three kinds of star ghters are the X-Wing, the YWing, and Tie Fighters. 0 Every pilot liked at least one kind of star ghter 0 I liked all three. (The force is strong with this pilot!) 0 I liked XWings and Y-Wings o 2 liked XWings and Tie Fighters 0 3 liked Y-Wings and Tie Fighters 0 5 liked X-Wings o 8 liked Y-Wings o 13 liked Tie Fighters. Use the Principle of Inclusion and Exclusion to determine how many pilots answered the survey. Draw a Venn Diagram depicting the above data. Note: when we say, for example, that n pilots liked a particular kind of Star Fighter, it means they might have liked other types as well. For example, some of the 13 pilots that like Tie Fighters liked X-Wings, Y-Wings or maybe both