Looping(Patterns)-Pascal's Triangle Generator.md

🔺 Looping(Patterns)-Pascal's Triangle Generator in Python

This project demonstrates a simple Python program to generate Pascal’s Triangle, where the number of rows is provided by the user.

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🎯 Aim

To write a Python program that generates Pascal's Triangle using numbers. The number of rows is accepted from the user.

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🧠 Algorithm

1. Start the program.
2. Input the number of rows from the user.
3. Loop from 0 to the number of rows.
4. For each row:
   • Print appropriate spaces to shape the triangle.
   • Compute values using the formula:
     [ C(n, k) = \frac{n!}{k!(n-k)!} ]
5. Print all rows of Pascal’s Triangle.
6. End the program.

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🧪 Program

for i in range(n):
    for k in range(n,i+1,-1):
        print(" ",end='')
        
    num=1
    for j in range(i+1):
        print(num,end=" ")
        num=num*(i-j)//(j+1)
    print()

Sample Output

Result

Thus,To write a Python program that generates Pascal's Triangle using numbers. The number of rows is accepted from the user is verified.