 Natural numbers are a type of whole number that includes all positive integers, starting from one. In this context, 4-digit odd natural numbers are those that have 4 digits and are odd numbers at the same time. It is important to consider the quantities involved in this type of number to better understand the concept.

## Identifying 4-Digit Odd Natural Numbers

4-digit odd natural numbers are those that have 4 digits in total and are odd numbers. This means that the number is not divisible by 2, making it an odd number. For example, the 4-digit odd natural number 3,521 is comprised of four digits: 3, 5, 2 and 1.

## Understanding the Quantities Involved

To understand the quantities involved in 4-digit odd natural numbers, it is important to consider the different combinations of digits that can make up these numbers. It is possible to create 4-digit odd natural numbers using four different digits, such as 3,527. However, it is also possible to create 4-digit odd natural numbers using the same digit multiple times, such as 3,333.

In total, there are 10,000 possible combinations of 4-digit odd natural numbers that can be created. Of these 10,000 combinations, there are 4,096 distinct numbers. This means that out of the 10,000 possible combinations, 4,096 of them are unique, distinct numbers that do not repeat.

In conclusion, 4-digit odd natural numbers are those that have 4 digits and are odd numbers. There are 10,000 possible combinations of 4-digit odd natural numbers, and 4,096 of these combinations are distinct, unique numbers. Understanding the quantities involved in 4-digit odd natural numbers is important to gaining a better understanding of the concept.

The numbers that make up the set of natural numbers of 4 digits, made up of different distinct odd numbers, number over 2000.

Natural numbers are numbers that are whole and positive, and do not include fractions. Among these set of natural numbers, specific subsets can be created depending on the criteria of the user. Natural numbers of 4 digits with distinct odd numbers falls into this subset.

A natural number of 4 digits with distinct odd numbers is one that is a minimum of 1000 and a maximum of 9999 and it is composed only by distinct odd numbers. In other words, no single odd number appears twice in the composed number, and all the 4 numbers are distinct.

For example, a natural number with 4 distinct odd digits would be 1537, as it does not contain repeating numbers, is composed solely with odd numbers and is made up of 4 digits. Other examples of natural numbers of 4 distinct odd digits are 8153, 3759, 2549 and so on.

The total of natural numbers of 4 distinct odd digits amounts to 2044.

Although this might not initially appear to be a very large number, it is important to note that the 4 digits of each number are completely different from each other, making it easier to list the numbers. It is also important to note that the range of numbers in this subset is higher than other scenarios with subsets with less criteria as the number of distinct odd numbers ranges from 0 up to 4.

Therefore, the set of natural numbers composed of 4 distinct odd digits has 2044 numbers.