Consider the following statements about the number of 1’s (digit one) in the 
summation maximum and minimum possible 9-digit numbers are 9.
Statement-1: Digits used in minimum and maximum numbers should be non-zero.
Statement-2: Digits used in maximum 9-digit number should be distinct as well as 
digits used in maximum 9-digit number should be distinct.

Let's analyze the given statements about the number of 1's (digit one) in the summation of the maximum and minimum possible 9-digit numbers and assess whether the statements are correct or not.

### Understanding the Problem

We need to consider the following:

1. **Maximum possible 9-digit number**: This is the largest number that can be formed using 9 digits. The largest 9-digit number is 999,999,999. 

2. **Minimum possible 9-digit number**: This is the smallest number that can be formed using 9 digits, considering the constraint that all digits must be non-zero. The smallest 9-digit number under this constraint is 111,111,111.

### Evaluating the Statements

Let's evaluate both statements based on the above information.

#### Statement 1: "Digits used in minimum and maximum numbers should be non-zero."

- The maximum 9-digit number (999,999,999) uses the digit '9' nine times. This means there are no zeros in the number.
- The minimum 9-digit number (111,111,111) uses the digit '1' nine times, and also has no zeros.

Thus, **both numbers are formed using non-zero digits only**. This statement is **correct**.

#### Statement 2: "Digits used in maximum 9-digit number should be distinct as well as digits used in minimum 9-digit number should be distinct."

- The maximum 9-digit number (999,999,999) uses the digit '9' repeatedly (nine times). Hence, the digits in this number are **not distinct**.
- The minimum 9-digit number (111,111,111) uses the digit '1' repeatedly (nine times). Hence, the digits in this number are also **not distinct**.

This statement claims that the digits in both numbers should be distinct, but in reality, **the digits in both the maximum and minimum 9-digit numbers are not distinct**. 

Thus, this statement is **incorrect**.

### Conclusion

- **Statement 1 is correct**: Both the maximum and minimum 9-digit numbers do not contain zero and are composed only of non-zero digits.
- **Statement 2 is incorrect**: The digits used in both the maximum and minimum 9-digit numbers are not distinct, contrary to the statement.

**Answer: Only Statement 1 is correct.**

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How can we determine the maximum and minimum numbers given a specific number of digits?
2. What is the significance of using non-zero digits in forming numbers?
3. How can you determine if all digits in a number are distinct?
4. How many different 9-digit numbers can be formed using non-repeating digits?
5. How do number properties change when using distinct digits vs. repeated digits?

**Tip:** Understanding number formation rules and properties such as digit distinction can help in solving a variety of numerical and combinatorial problems.

Explore the number of 1's (digit one) in the maximum and minimum possible 9-digit numbers. Understand the properties of these numbers, including their composition using non-zero digits and the distinction of digits. Analyze the correctness of given statements with detailed explanations.

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