Math Problem Set 1

  1. In a group of 12 boys and 14 girls, how many distinct groups of 4 boys and 5 girls could be chosen as Yearbook staff members?
  2. In a group of 18 pets, how many could be chosen as most favorite pet and second most favorite pet?
  3. Samantha is choosing flowers for her wedding. Her budget allows her only to select 4 flowers. Her florist offers 18 flowers. How many groups of 4 flowers could she choose?
  4. Tom makes an additional six hundred dollars for every bundle of 3 cars that he sells. His initial monthly compensation is $7,810.00. Graph Tom’s monthly potential compensation in an x-y coordinate plane where cars sold is the independent variable and money in US dollars is the dependent variable.
  5. Jacob is travelling to Europe this summer. He must bring with him 5 shirts, 8 pairs of shorts, and 7 pairs of glasses. He owns 20 shirts, 20 pants, 18 shorts, 12 glasses, and 24 socks. How many different suitcases could he pack?
  6. Alan enjoys golfing, but he also wants to get all As in school. He decides to only golf two days per week. How many different golf schedules could he form in a given week?
  7. Mrs. Smith is deciding how many students to choose for math team. She could choose 4 sophomores or 3 juniors. The school has 10 advanced sophomores and 10 advanced juniors. How many math teams could be formed?
  8. Tim is making a pizza. He can choose one out of 5 sauces, 2 out of 7 cheeses, and 4 out of 9 vegetables. How many different pizzas could he make?
  9. In a group of 120 students, 40 play basketball and 70 play soccer. If 12 play neither basketball nor soccer, how many students play basketball and not soccer?