Solve Counting Problems Using the Multiplication Rule
-You are taking a multiple-choice test that has 11 questions. Each of the questions has 5 choices, with one correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions
A) 48,828,125
B) 55
C) 161,051
D) 16

Question

Quizplus · Accepted Answer

For each of the 11 questions, there are 5 choices, meaning there are 5 ways to answer each question. According to the multiplication rule, the total number of ways to answer all questions is $5^{11} = 48,828,125$.