September Morn Update

Task/Evaluate-binomial-coefficients/Python/evaluate-binomial-coefficients-4.py

@@ -0,0 +1,25 @@
+from typing import (Callable, List, Any)
+from functools import reduce
+from operator import mul
+
+
+def binomialCoefficient(n: int) -> Callable[[int], int]:
+    return lambda k: product(enumFromTo(1 + k)(n)) // factorial(n - k)
+
+
+def enumFromTo(m: int) -> Callable[[int], List[Any]]:
+    return lambda n: list(range(m, 1 + n))
+
+
+def factorial(x: int) -> int:
+    return product(enumFromTo(1)(x))
+
+
+def product(xs: List[Any]) -> int:
+    return reduce(mul, xs, 1)
+
+
+if __name__ == '__main__':
+    print(binomialCoefficient(5)(3))
+    # k=0 to k=5, where n=5
+    print(list(map(binomialCoefficient(5), enumFromTo(0)(5))))