Question
*The Quarterly Examination has ten True- False questions. How many different choices for answering the ten questions are possible? QUIZ \#1
Ask by Long Carlson. in the Philippines
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
There are 1,024 different ways to answer the ten True/False questions.
Solution
To determine the number of different ways to answer the ten True/False questions on the exam, consider the following:
1. **Choices per Question:**
- Each question has **2** possible answers: True (T) or False (F).
2. **Total Number of Questions:**
- There are **10** questions in total.
3. **Calculating the Total Number of Choices:**
- For each of the 10 questions, you have 2 choices.
- The total number of different ways to answer all questions is calculated by multiplying the number of choices for each question together.
- This can be expressed mathematically as:
\[
2^{10} = 2 \times 2 \times 2 \times \dots \times 2 \quad (\text{10 times})
\]
- Calculating this:
\[
2^{10} = 1024
\]
**Conclusion:**
There are **1,024** different possible ways to answer the ten True/False questions on the exam.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
With ten True-False questions, each question has 2 possible answers: True (T) or False (F). To find the total number of possible combinations for answering all ten questions, you can use the formula \(2^n\), where \(n\) is the number of questions. So here, it’s \(2^{10} = 1024\) different ways to answer the questions. That means you’ve got 1,024 unique combinations to choose from! Imagine the possibilities: if each combination was a different dance move, you could be hosting a dance party that no one would ever forget! Just be careful if you’re scoring that exam, as you might end up with a lot more results than you bargained for.
