Certainly! Below is a test case generator for the FizzBuzz problem as described in the problem statement. This generator will create random test cases within the constraints provided.

```python
import random

def generate_fizzbuzz_statement(i):
    if i % 3 == 0 and i % 5 == 0:
        return "FizzBuzz"
    elif i % 3 == 0:
        return "Fizz"
    elif i % 5 == 0:
        return "Buzz"
    else:
        return str(i)

def tcgen():
    datasets = []
    
    while len(datasets) < 50:  # Generating up to 50 datasets
        m = random.randint(2, 1000)  # Number of players (2 ≤ m ≤ 1000)
        n = random.randint(1, 10000) # Number of statements (1 ≤ n ≤ 10000)
        
        statements = []
        for i in range(1, n + 1):
            correct_statement = generate_fizzbuzz_statement(i)
            if random.random() < 0.1:  # 10% chance to introduce an error
                options = ["Fizz", "Buzz", "FizzBuzz"]
                if correct_statement in options:
                    options.remove(correct_statement)
                statements.append(random.choice(options + [str(i)]))
            else:
                statements.append(correct_statement)
        
        datasets.append((m, n, statements))
    
    return datasets

def format_test_case(datasets):
    formatted_data = []
    for m, n, statements in datasets:
        formatted_data.append(f"{m} {n}")
        formatted_data.extend(statements)
    formatted_data.append("0 0")
    return "\n".join(formatted_data)

if __name__ == "__main__":
    datasets = tcgen()
    formatted_test_cases = format_test_case(datasets)
    print(formatted_test_cases)
```

### Explanation
1. **Helper Function `generate_fizzbuzz_statement`:**
   - This function generates the correct FizzBuzz statement for a given number `i`.

2. **Test Case Generator `tcgen`:**
   - Generates up to 50 datasets.
   - For each dataset:
     - Randomly selects the number of players `m` between 2 and 1000.
     - Randomly selects the number of statements `n` between 1 and 10000.
     - Generates the correct FizzBuzz sequence for numbers from 1 to `n`.
     - Introduces a 10% chance to introduce an incorrect statement.
   - Collects all the datasets in a list.

3. **Test Case Formatter `format_test_case`:**
   - Converts the list of datasets into a formatted string suitable for input to the FizzBuzz problem.
   - Ensures the input ends with `0 0` to indicate the end of the input.

4. **Main Block:**
   - Calls the test case generator and formatter, then prints the formatted test cases.

This script will produce randomized test cases within the problem constraints, making it suitable for thorough testing of a solution to the FizzBuzz problem.