Python | sympy.ff() method

With the help of sympy.ff() method, we can find the Falling factorial. Falling factorial is defined by –

where x can be arbitrary expression and k is an integer.

Syntax: ff(x, k)

Parameter:
x – It denotes any arbitrary expression.
k – It denotes an integer.

Returns: Returns falling factorial corresponding to the given inputs.

Example #1:

 # import sympy   from sympy import *     x = symbols('x')  k = 5 print("Value of x = {} and k = {}".format(x, k))      # Use sympy.ff() method   ff_x_k = ff(x, k)           print("Falling factorial ff(x, k) : {}".format(ff_x_k))

Output:

Value of x = x and k = 5
Falling factorial ff(x, k) : x*(x - 4)*(x - 3)*(x - 2)*(x - 1)


Example #2:

 # import sympy   from sympy import * x = 7 k = 5 print("Value of x = {} and k = {}".format(x, k))      # Use sympy.ff() method   ff_x_k = ff(x, k)           print("Falling factorial ff(x, k) : {}".format(ff_x_k))

Output:

Value of x = 7 and k = 5
Falling factorial ff(x, k) : 2520

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