SETS 10: Problems with 3 sets
(4) Examples for Learning to Solve Problems with 3 Sets
Problems with Three Sets in a Venn Diagram
Problems with Three Sets
#sets #setproblems #problemswiththreesets
01. In a classroom of 50 students, 30 pass math; 30 pass physics; 35 pass Spanish; 18 pass math and physics; 19 pass physics and Spanish; 20 pass math and Spanish; and 10 pass all three courses. How many students fail all three courses?
02. A survey of the students determined that:
68 behave well
160 are talkative
138 are intelligent
55 are talkative and well-behaved
48 are well-behaved and intelligent
120 are talkative and intelligent
40 are talkative, intelligent, and well-behaved.
How many students are only intelligent?
3. A certain school has 38 soccer players, 15 basketball players, and 20 baseball players. If the total number of players is 58 and only three of them play all three sports, how many play only one sport?
Answers
1) 2
2) 10
3) 46