Python | sympy.compositepi() 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:

# 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:

# 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.compositepi() method

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