Python | sympy.combsimp() method

Python | sympy.combsimp() method

Last Updated : 07 Jul, 2019

With the help of sympy.combsimp() method, we can simplify combinatorial expressions.

Syntax: combsimp(expression) Parameter: expression - It is combinatorial expression which needs to be simplified. Returns: Returns a simplified mathematical expression corresponding to the input.

Example #1:

Python3 1==

# import sympy 
from sympy import * 

n = symbols('n', integer = True)
expr = factorial(n)/factorial(n - 3)
print("Expression = {}".format(expr))
 
# Use sympy.combsimp() method 
simple_expr = combsimp(expr)  
    
print("Simplified Expression : {}".format(simple_expr))

Output:

Expression = factorial(n)/factorial(n - 3)
Simplified Expression : n*(n - 2)*(n - 1)

Example #2:

Python3 1==

# import sympy 
from sympy import * 

n, k = symbols('n k', integer = True)
expr = binomial(n + 1, k + 1)/binomial(n, k)
print("Expression = {}".format(expr))
 
# Use sympy.combsimp() method 
simple_expr = combsimp(expr)  
    
print("Simplified Expression : {}".format(simple_expr))

Output:

Expression = binomial(n+1, k+1)/binomial(n, k)
Simplified Expression : (n + 1)/(k + 1)

Python | sympy.combsimp() method

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