Question

An examination consists of 20 true-false questions. determine the number of possible ways to answer one true-false question. use the counting principle to determine the number of possible ways to complete the entire examination consisting of 20 true-false questions.

Answer 1

There are 2 possible ways to answer a true-false question. The total number of possible ways to complete the entire examination of 20 true-false questions is 1,048,576.

Step-by-step explanation:

There are two possible outcomes for each true-false question: true or false. So, there are 2 ways to answer one true-false question.

To determine the number of possible ways to complete the entire examination consisting of 20 true-false questions, we can use the counting principle. Since each question has 2 possible answers, there are 2 choices for the first question, 2 choices for the second question, and so on. Therefore, the total number of possible ways to complete the entire examination is 2 x 2 x 2 x ... (20 times) = 220 = 1,048,576.