**Core Concept**
In a bimodal series, the mode is the most frequently occurring value, and the median is the middle value when the data is arranged in ascending order. The mean is the average of all values. In this scenario, the mean and median are given, and we need to find the mode.

**Why the Correct Answer is Right**
To find the mode, we need to consider the distribution of values in the bimodal series. Since the median is 3, which is greater than the mean (2), we know that the distribution of values is skewed to the right. This means that there are more values greater than the median than less than the median. Since the mean is less than the median, we can conclude that the mode is likely to be less than the median. Given that the series is bimodal, the two modes must be the two values that occur most frequently.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it assumes that the mode is equal to the median, which is not necessarily true in a bimodal series.
**Option B:** This option is incorrect because it assumes that the mode is greater than the median, which is not possible in this scenario since the mean is less than the median.
**Option C:** This option is incorrect because it assumes that the mode is equal to the mean, which is not necessarily true in a bimodal series.

**Clinical Pearl / High-Yield Fact**
In a bimodal series, the mode is often the value that occurs most frequently, and it is usually one of the two values that are most distant from the median.

**Correct Answer:** C. 1