Solve the problem.
-How many arrangements of answers are possible in a multiple-choice test with 9 questions, each of whichhas 3 possible answers?
A)19,683
B)60,480
C)84
D)504

Question

Quizplus · Accepted Answer

For each question, there are 3 possible answers. Therefore, there are
3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9 = 19,683
possible arrangements of answers. For each of the 9 questions, there are 3 possible answers. Therefore, the total number of arrangements of answers is 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 19,683. Therefore, the correct answer is (A) 19,683.

Solve the Problem. -How Many Arrangements of Answers Are Possible in a Multiple-Choice