Problema Solution
Ten Hogan students are going hand gliding and decide to race. How many different ways can the group come in first, second, and third?
Answer provided by our tutors
The first-place finisher can be any one of the 10 students.
For each of these choices, the second-place finisher can be any one of the remaining 9 students.
For each of these choices, the third-place finisher can be any one of the remaining 8 students.
So there are 10 * 9 * 8 = 720 ways in which the first, second, and third places can be comprised of members of the group of 10 students.