For a community marriage 300 boys and 300 girls gathered for their marriage. But out of 600 people 200 were from America and 200 from France and rest 200 were from India itself. The rule was that no any person can marry with a person of different ethnicity or nationality. Minimum how many married couples will be formed, after marriage?

Options

A. 100
B. 150
C. 200
D. none of these

Answer

To solve the problem, we need to determine the minimum number of married couples that can be formed given the restrictions based on nationality.

### Step-by-Step Solution:

1. **Identify the Groups**:
- There are 300 boys and 300 girls.
- The distribution of nationality is as follows:
- 200 from America
- 200 from France
- 200 from India

2. **Understand the Marriage Restrictions**:
- Boys and girls can only marry within their own nationality. This means:
- American boys can only marry American girls.
- French boys can only marry French girls.
- Indian boys can only marry Indian girls.

3. **Determine the Maximum Couples from Each Nationality**:
- For each nationality, we can form couples based on the minimum number of boys and girls available:
- **American Couples**: There are 200 American boys and 200 American girls. Therefore, the maximum number of couples is 200.
- **French Couples**: There are 200 French boys and 200 French girls. Therefore, the maximum number of couples is 200.
- **Indian Couples**: There are 200 Indian boys and 200 Indian girls. Therefore, the maximum number of couples is 200.

4. **Calculate the Minimum Couples**:
- Since we need to find the minimum number of couples that can be formed, we should consider the distribution of boys and girls in each nationality.
- To minimize the number of couples, we can assume that the boys and girls are evenly distributed:
- If we take 100 boys and 100 girls from each nationality, we can form:
- 100 American couples
- 100 French couples
- 100 Indian couples

5. **Total Minimum Couples**:
- Adding these together gives us:
- 100 (American) + 100 (French) + 100 (Indian) = 300 couples.

Thus, the minimum number of married couples that will be formed is **300**.