A group of 200 UTAR students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball.

A group of 91 students were surveyed about the courses they were taking at their college with the following results:39 students said they were taking Math.47 students said they were taking English.38 students said they were taking History.14 students said they were taking Math and English.16 students said they were taking Math and History.27 students said they were taking English and History.11 students said they were taking all three courses.How many students took none of the courses    ?

In a recent survey, 75 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 39 liked them mashed, 39 liked French fried, and 33 liked twice baked potatoes. Additionally, 21 students liked both mashed and fried potatoes, 26 liked French fries and twice baked potatoes, 19 liked mashed and baked, and 12 liked all three styles. How many students hate potatoes? Explain why your answer is correct.

The u for days absent from class per month is 4.3. The teacher begins a policy of pop quizzes to see if it affects attendance. What are Ha and Ho?

Assume that 135 surveys are completed. Of those surveyed, 61 responded positively to effectiveness, 65 responded positively to side effects, and 63 responded positively to cost. Also, 26 responded positively to both effectiveness and side effects, 29 to effectiveness and cost, 26 to side effects and cost, and 16 to none of the items. How many responded positively to all three?