There are 12 true - false questions in an examination .How many seqences of answer are possible?

Answer

To solve the problem of how many sequences of answers are possible for 12 true-false questions, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: Each question in the examination can be answered in one of two ways: True (T) or False (F).

2. **Identifying the Choices**: For each of the 12 questions, there are 2 choices (True or False).

3. **Calculating Total Sequences**: Since the choices for each question are independent of each other, the total number of sequences of answers can be calculated using the multiplication principle of counting.

- For the first question, there are 2 choices.
- For the second question, there are also 2 choices.
- This continues for all 12 questions.

4. **Using Exponents**: The total number of sequences can be expressed as:
\[ \text{Total Sequences} = 2 \times 2 \times 2 \times \ldots \text{(12 times)} = 2^{12} \]

5. **Calculating \(2^{12}\)**: Now we calculate \(2^{12}\):
\[ 2^{12} = 4096 \]

6. **Final Answer**: Therefore, the total number of sequences of answers possible for the 12 true-false questions is **4096**.

### Summary:
The total number of sequences of answers for 12 true-false questions is **4096**.

---