Suppose you are taking a true-false test consisting of 5 questions. In how many ways can you answer the question?
The first question can be answered in 2 ways
for each of those, the 2nd question can be answered in 2 ways, so 2^2 or 4 so far
...
number of ways = 2^5 = 32
To determine the number of ways you can answer a true-false test consisting of 5 questions, we need to consider that each question can have 2 possible answers: true or false.
Since there are 5 questions in total, you would have 2 choices for the first question, 2 choices for the second question, 2 choices for the third question, 2 choices for the fourth question, and 2 choices for the fifth question.
To find the total number of ways to answer the questions, we can multiply the number of choices for each question together. This would be calculated as:
2 choices for the first question * 2 choices for the second question * 2 choices for the third question * 2 choices for the fourth question * 2 choices for the fifth question.
Using this formula, the total number of ways to answer all 5 questions would be:
2 * 2 * 2 * 2 * 2 = 2^5 = 32.
Therefore, there are 32 possible ways to answer a true-false test consisting of 5 questions.