Question

There are 10 students in a social studies class. Three students will be selected to present their term projects today. In how many different orders can three students be selected?

Answer 1

In this case the order of selection is important. Therefore you need to find the number of permutations of the 10 students taken 3 at a time:
\[10P3=\frac{10!}{(10-3)!}=10\times9\times8=you\ can\ calculate\]

Answer 2

1/12

Answer 3

How did you get that?

Answer 4

The calculation was:
\[10\times9\times8=\ ?\]