{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Berechnen des Binomialkoeffizienten"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Link zu einem Tool für die Berechnung von Binomialkoeffizienten](https://jumk.de/kombinatorik/binomialkoeffizient.php)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Binomialkoeffizient durch Setzen von $n$ und $k$ berechnen\n",
    "\n",
    "Achtung: Das Ausführen des Python-Codes ist nur möglich, wenn man das Notebook lokal oder auf [MyBinder](https://mybinder.org/) ansieht. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n über k: 435\n",
      "5! = 120\n"
     ]
    }
   ],
   "source": [
    "import scipy.special\n",
    "import math\n",
    "\n",
    "n = 30\n",
    "k = 2\n",
    "\n",
    "binnk = scipy.special.comb(n,k, exact=True)\n",
    "\n",
    "\n",
    "print(\"n über k:\",binnk)\n",
    "\n",
    "# Berechnen der Fakultät:\n",
    "fact = math.factorial(5)\n",
    "print(\"5! =\",fact)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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