Solve the problem.
-A teacher decides to give 3 different prizes to 3 of 12 students in her class. In how many ways can she do so?
A)3
B)12
C)79,833,600
D)1320

Question

Quizplus · Accepted Answer

The teacher can choose the first prize winner from 12 students, then the second prize winner from 11 students (since one has already won a prize), and the third prize winner from 10 students (since now two have already won a prize). Therefore, the total number of ways to give out the prizes is 12x11x10=1320. The teacher can choose the first prize winner from the 12 students, then the second prize winner from the remaining 11 students, and finally the third prize winner from the remaining 10 students. Therefore, the total number of ways she can give out 3 different prizes is 12 × 11 × 10 = 1,320. Thus, the correct answer is option D.

Solve the Problem. -A Teacher Decides to Give 3 Different Prizes to 3