Max is picking two camps to go to this summer. There are five different camps to choose from: swimming, basketball, football, arts, and music. Max does not want to pick only one camp.In how many different combinations could she choose two camps?

A group of 75 students was surveyed about their preferred summer vacation activities. Out of these 75 students, 27 preferred swimming, 35 preferred boxing, and 28 preferred football. 10 of these students preferred exactly 2 out of the three activities. 5 students did not prefer any of these three activities meaning they could prefer to choose any, or all, or none at any point in time. What was the maximum number of students that preferred exactly one of these three activities?

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, how many are expected to attend summer camp?

After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a problem with transportation, only 7 people can travel. In how many ways can the coach pick the people to go?

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 12 boys and 5 girls are competing, how many different ways could the six medals possibly be given out?

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 6 boys and 14 girls are competing, how many different ways could the six medals possibly be given out?