{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n = 100\n",
    "choices = range(n)\n",
    "k = 2   # The code won't explicitly reference k, but this is what it will be in the examples below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10000\n"
     ]
    }
   ],
   "source": [
    "# Permutations with replacement\n",
    "\n",
    "permutations = []\n",
    "\n",
    "for i in choices:\n",
    "    for j in choices:\n",
    "        permutation = [i, j]\n",
    "        permutations.append(permutation)\n",
    "\n",
    "print(len(permutations))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9900\n"
     ]
    }
   ],
   "source": [
    "# Permutations without replacement\n",
    "\n",
    "permutations = []\n",
    "\n",
    "for i in choices:\n",
    "    for j in choices:\n",
    "        if i != j:\n",
    "            permutation = [i, j]\n",
    "            permutations.append(permutation)\n",
    "\n",
    "print(len(permutations))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4950\n"
     ]
    }
   ],
   "source": [
    "# Combinations\n",
    "\n",
    "combinations = []\n",
    "\n",
    "for i in choices:\n",
    "    for j in choices:\n",
    "        if i != j:\n",
    "            combination = set([i, j])\n",
    "            if combination not in combinations:\n",
    "                combinations.append(combination)\n",
    "\n",
    "print(len(combinations))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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