Functions, Geometry, Passport to Advanced Math

  1. There is a class of 10 students. How many ways can the teacher pick 1st, 2nd, and 3rd place prizes?
  2. In a set of 12 girls, how many groups of 4 winners can be made?
  3. 18 students are running for 5 student council seats. How many winning sets can be formed?
  4. 12 swimmers compete for gold, silver, and bronze. How many winning sets can be formed?
  5. Tom is one of 9 students. All 9 students compete for President and Vice president. If the winners are randomly selected, what is the probability that Tom is one of the winners? What is the percent chance that Tom is one of the winners?
  6. In a statistics class, the probability of getting an A is .45. In a group of 11 students, find the probability that exactly 7 get As.
  7. Phil hopes to be chosen as one of 16 teenagers to go on a trip. If only 3 teenagers are chosen, find the probability that Phil is one of them.
  8. The probability that any student passes a math test is 14. In a group of 5 students, find the probability that 3 pass.
  9. 8 students compete for 2 winning spots on a sports team. Alan is one of the 8 students. If all students are equally likely to win a spot, find the probability that Alan is one of those winners.
  10. x-y=80 and xy=5. Find the value of x+y.