Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 512 possible answer sheets.
Solution
Since each question has two possibilities (true or false), we can determine the total number of possible answer sheets as follows.
- There are 9 questions.
- Each question has 2 possible answers.
- By the multiplication principle, the total number of combinations is
- Calculating
:
Thus, there are
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
Did you know that the number of possible outcomes for a quiz with nine true/false questions is a whopping 2^9? That means there are 512 different combinations of answers! This is because each question can either be true or false, leading to all those unique permutations. So, the next time you’re taking a quiz, just remember—there’s a tiny world of possibilities behind each question!
If you’re looking for strategies on how to approach true/false questions, one useful tip is to read each statement carefully and look for qualifying words like “always,” “never,” “all,” or “some.” These words can dramatically change the truth of a statement. Practice makes perfect, so try quizzing yourself with different statements to hone your skills and keep your brain sharp!
