Question

A survey of 180 college men was taken to determine participation in various campus activities. Forty-three students were in fraternities, 52 participated in campus sports, and 35 participated in various campus tutorial programs. Thirteen students participated in fraternities and sports, 14 in sports and tutorial programs, and 12 in fraternities and tutorial programs. Five students participated in all three activities. 

1. How many participated in only campus sports?

2. How many participated in fraternities and sports, but not in tutorial programs?

3. How many participated in fraternities or sports, but not in tutorial programs?

4. How many participated in exactly one of these activities?

5. How many participated in at least two of these activities?

6. How many did not participate in any of the three activities?