Python Program To Print Pascal’s Triangle (2 Ways)

by Amit Rawat · June 17, 2019

In this program, we will learn how to print Pascal’s Triangle using the Python programming language.

What is Pascal’s Triangle?

In mathematics, It is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal.

We will discuss two ways to code it.

Using Factorial
Without using Factorial

Python Programming Code To Print Pascal’s Triangle

Using Factorial

We have already discussed different ways to find the factorial of a number. So, you look up there to learn more about it.

Code:-

def fact(n):
	res=1
	for c in range(1,n+1):
		res = res*c
	
	return res

rows = int(input("Enter the number of rows : "))

for i in range(0, rows):
    for j in range(1, rows-i):
        print("  ", end="")

    for k in range(0, i+1):
        coff = int(fact(i)/(fact(k)*fact(i-k)))
        print("  ", coff, end="")
    
    print()

Ouput:-

Enter the number of rows : 5
           1
         1   1
       1   2   1
     1   3   3   1
   1   4   6   4   1

Without using Factorial

Code:-

rows = int(input("Enter the number of rows : "))
for i in range(0, rows):
    coff = 1

    for j in range(1, rows-i):
        print("  ", end="")
    
    for k in range(0, i+1):
        print("  ", coff, end="")
        coff = int(coff * (i - k) / (k + 1))

    print()

Output:-

Enter the number of rows : 8
                 1
               1   1
             1   2   1
           1   3   3   1
         1   4   6   4   1
       1   5   10   10   5   1
     1   6   15   20   15   6   1
   1   7   21   35   35   21   7   1