binomial_coefficient.py

# binomial coeficient
import math

if __name__ == "__main__":
	print("#### Binomial Coefficent Calculator ####")
	print("Use: Given (a + b)^n, p = coefficient of a, q = coefficient of b, t = nth term")

	# get params n, p, q and t
	n = int(input("n: "))
	p = int(input("p: "))
	q = int(input("q: "))
	t = int(input("t: "))

	# solve
	k = t-1
	C = math.factorial(n) / (math.factorial(n-k) * math.factorial(k))
	a = p**(n-k)
	b = q**k
	print("Coefficient: ", C*a*b)