The question is there are 18 students in a class. Each day the teacher randomly selects three students to assist in a game: a leader, a recorder, and a timekeeper. In how many possible ways can the jobs be assigned?

Question

so first is 1 out of 18
then since one was picked, now it is 1 out of 17
last, there is now 16, so 1 out of 16
now multiply 18x17x16=4896

Is this correct?
Thank you for checking my work

Answer 1

correct