# Python: Reads n digits chosen from 0 to 9 and prints the number of combinations where the sum of the digits equals to another given number(s)

## Python Basic - 1: Exercise-48 with Solution

Write a Python program that reads n digits (given) chosen from 0 to 9 and prints the number of combinations where the sum of the digits equals another given number (s). Do not use the same digits in a combination.

**Input:**

Two integers as number of combinations and their sum by a single space in a line. Input 0 0 to exit.

**Sample Solution**:

**Python Code:**

```
# Import the 'itertools' module
import itertools
# Prompt the user to input the number of combinations and sum, input 0 0 to exit
print("Input number of combinations and sum, input 0 0 to exit:")
# Infinite loop for continuous input until the user enters 0 0
while True:
# Take user input for the number of combinations and sum, and convert to integers
x, y = map(int, input().split())
# Check if the user wants to exit the loop
if x == 0 and y == 0:
break
# Generate all combinations of 'x' elements from the range 0 to 9
s = list(itertools.combinations(range(10), x))
# Initialize a counter variable to count the valid combinations
ctr = 0
# Iterate through each combination
for i in s:
# Check if the sum of the current combination is equal to the target sum 'y'
if sum(i) == y:
ctr += 1
# Print the total count of valid combinations
print(ctr)
```

Sample Output:

Input number of combinations and sum, input 0 0 to exit: 5 6 2 4 0 0 2

**Explanation:**

Here is a breakdown of the above Python code:

- First the code imports the 'itertools' module.
- It prompts the user to input the number of combinations and sum, with the option to input 0 0 to exit.
- The code enters an infinite loop to continuously take input until the user enters 0 0.
- User input for the number of combinations and sum is taken and converted to integers.
- It generates all combinations of 'x' elements from the range 0 to 9.
- The code iterates through each combination, checking if the sum equals the target sum 'y'.
- The total count of valid combinations is printed after exiting the loop.

**Flowchart:**

**Python Code Editor:**

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