Python code task

Task

How many different ways are there to use 16 possible variables? Give the Python code.

Verbalization

Calculation formula is 18C0 + 18C1 +18C2 …… + 18C18
nCr = n!/((n-r)!*r!) (use from math import factorial factorial(i) = i!)
Use roop and += (for i in range(18+1))

Code

from math import factorial

#test n=18C0 
n= factorial(18)/factorial(18-0)*factorial(0)
n  


#test How many different ways are there to use 3 possible adjustment variables?
n =factorial(3)/(factorial(3-0)*factorial(0)) +factorial(3)/(factorial(3-1)*factorial(1)) +factorial(3)/(factorial(3-2)*factorial(2)) +factorial(3)/(factorial(3-3)*factorial(3))
n

h = 16
n = 0
for i in range(0,h+1):
    f = factorial(h)/(factorial(h-i)*factorial(i))    
    n += f
n

Reference