In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can find to get all answers correct is :

Options

A. 11
B. 12
C. 27
D. 63

Answer

To solve the problem, we need to determine the number of ways a student can answer three multiple choice questions, each with four options, and find the number of ways to get all answers correct.

### Step-by-Step Solution:

1. **Identify the number of questions and choices**:
- There are 3 multiple choice questions.
- Each question has 4 choices.

2. **Calculate the total number of ways to answer the questions**:
- For each question, there are 4 choices.
- Therefore, the total number of ways to answer all three questions is calculated as:
\[ \text{Total ways} = 4 \times 4 \times 4 = 4^3 \]
- Calculating \(4^3\):
\[ 4^3 = 64 \]
- So, there are 64 different ways to answer the questions.

3. **Determine the number of correct answers**:
- In any examination, there is only one correct answer for each question.
- Therefore, there is only **1 way** to get all answers correct.

4. **Conclusion**:
- The number of ways in which a student can find all answers correct is simply the number of ways to answer the questions minus the number of ways to get all answers correct:
\[ \text{Number of ways to get all answers correct} = 1 \]

5. **Final Answer**:
- The number of ways in which a student can find to get all answers correct is:
\[ \text{Answer} = 1 \]