Python Program to find Number Combination

Posted in Python Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 58 - Views

⏳ 4 mins

💬 1 Comment

Python Program to find Number Combination

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, creating combinations of numbers is a common and useful task. A combination is a selection of items from a collection, where the order of selection does not matter.

In this tutorial, we'll explore a Python program that generates combinations of two specified numbers within a given range.

📄 Example

Let's take a look at the Python code that achieves this functionality.

generate_combinations.py

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def count_digits(num):
    count = 0
    while num != 0:
        num //= 10
        count += 1
    return count

def generate_combinations(number1, number2, limit):
    print(f"List of combinations of {number1} and {number2} up to {limit}:")

    for i in range(1, limit + 1):
        current_number = i

        # Check if the current number contains only the specified digits
        while current_number > 0:
            digit = current_number % 10
            if digit != number1 and digit != number2:
                break
            current_number //= 10

        # If the current number contains only the specified digits, print it
        if current_number == 0:
            print(i, end=" ")

    print()

# Replace these values with your desired numbers and limit
target_number1 = 4
target_number2 = 8
combination_limit = 500

# Call the function to generate combinations
generate_combinations(target_number1, target_number2, combination_limit)

💻 Testing the Program

To test the program with different values, replace the values of target_number1, target_number2, and combination_limit in the code.

Output

List of combinations of 4 and 8 up to 500:
4 8 44 48 84 88 444 448 484 488

Run the script to see the list of combinations.

🧠 How the Program Works

The program defines a function count_digits to calculate the number of digits in a given number.
The function generate_combinations generates combinations of two specified numbers up to a given limit.
Inside the function, it iterates through numbers from 1 to the specified limit.
For each iteration, it checks if the current number contains only the specified digits.
If the condition is met, the current number is a combination, and it is printed.

🧐 Understanding the Concept of Number Combination

Before delving into the code, let's take a moment to understand the concept of combinations. In mathematics, a combination is a selection of items from a collection, where the order of selection does not matter.

For example, consider the specified numbers as 4 and 8. The combinations of 4 and 8 up to 500 include 4, 8, 44, 48, 84, 88, 444, 448, 484, and 488.