Question

A quiz consists of 2 multiple-choice questions, with choices A through D, and 4 true-false questions. If a student randomly guesses, in how many ways can the quiz be answered?

64
128
256
512

Answer 1

To find the total number of ways the quiz can be answered, we need to calculate the number of ways each type of question can be answered and then multiply those numbers together.

For the multiple-choice questions, each question has 4 choices, so there are 4 possible answers for each question. Since there are 2 multiple-choice questions, there are a total of 4 x 4 = 16 possible ways to answer them.

For the true-false questions, each question has 2 possible answers. Since there are 4 true-false questions, there are a total of 2 x 2 x 2 x 2 = 16 possible ways to answer them.

To find the total number of ways the quiz can be answered, we multiply the number of ways to answer the multiple-choice questions by the number of ways to answer the true-false questions:

16 x 16 =

Therefore, the answer is

Answer 2

256!