The correct answer is option 'C' - 0 and 1, including the limits.

Explanation:
The correlation coefficient is a statistical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, with values closer to -1 indicating a strong negative correlation, values closer to 1 indicating a strong positive correlation, and a value of 0 indicating no correlation.

Here are the limits of the correlation coefficient:

Positive Correlation:
- When two variables have a positive correlation, the correlation coefficient will range between 0 and 1.
- A correlation coefficient of 0 indicates no correlation, meaning that there is no linear relationship between the variables.
- As the correlation coefficient approaches 1, it indicates a stronger positive correlation, suggesting that as one variable increases, the other variable also increases.

Negative Correlation:
- When two variables have a negative correlation, the correlation coefficient will range between -1 and 0.
- A correlation coefficient of 0 indicates no correlation, meaning that there is no linear relationship between the variables.
- As the correlation coefficient approaches -1, it indicates a stronger negative correlation, suggesting that as one variable increases, the other variable decreases.

Limits:
- The correlation coefficient cannot exceed the limits of -1 and 1.
- A correlation coefficient greater than 1 or less than -1 would imply an incorrect calculation or interpretation of the data.
- The correlation coefficient is bound by these limits because it is a standardized measure that is calculated by dividing the covariance of the variables by the product of their standard deviations. This normalization ensures that the correlation coefficient remains within the range of -1 to 1.

In summary, the correlation coefficient ranges from -1 to 1, with 0 indicating no correlation, values closer to -1 indicating a strong negative correlation, and values closer to 1 indicating a strong positive correlation. The limits of the correlation coefficient are -1 and 1, and any value outside this range would be incorrect.