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)
