{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "0320_permutaciones.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyNB1MbWlX+3N35dVFoX8jD/",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/financieras/pyCourse/blob/main/jupyter/calisto3/0320_permutaciones.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Permutaciones\n",
        "Permite saber de cuantas formas distintas es posible reordenar n elementos.\n",
        "\n",
        "Ejemplos:\n",
        "* Disponemos de 5 letras: \"ABCDE\".\n",
        " - Existen 120 formas de reordenar las 4 letras.\n",
        " - $5! = 5 * 4 * 3 * 2 * 1 = 120$\n",
        "* Disponemos de 4 libros en una estantería, cada libro tiene la tapa de un color: \"Rojo, Verde, Azul, Naranja\" = \"RVAN\"\n",
        " - Existen 24 formas de reordenar los 4 libros en la estantería.\n",
        " - $4! = 4 * 3 * 2 * 1 = 24$"
      ],
      "metadata": {
        "id": "Vuobr8Jkn4Wx"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from itertools import permutations\n",
        "\n",
        "# Definir las letras\n",
        "letras = \"ABCDE\"\n",
        "\n",
        "# Generar permutaciones de 5 letras\n",
        "permutaciones = permutations(letras, 5)\n",
        "\n",
        "# Iterar y mostrar las permutaciones\n",
        "for permutacion in permutaciones:\n",
        "    print(''.join(permutacion))"
      ],
      "metadata": {
        "id": "Aq2YY3zmONGK",
        "outputId": "0185dbd7-72db-44c3-94fe-6443a35c8c69",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "ABCDE\n",
            "ABCED\n",
            "ABDCE\n",
            "ABDEC\n",
            "ABECD\n",
            "ABEDC\n",
            "ACBDE\n",
            "ACBED\n",
            "ACDBE\n",
            "ACDEB\n",
            "ACEBD\n",
            "ACEDB\n",
            "ADBCE\n",
            "ADBEC\n",
            "ADCBE\n",
            "ADCEB\n",
            "ADEBC\n",
            "ADECB\n",
            "AEBCD\n",
            "AEBDC\n",
            "AECBD\n",
            "AECDB\n",
            "AEDBC\n",
            "AEDCB\n",
            "BACDE\n",
            "BACED\n",
            "BADCE\n",
            "BADEC\n",
            "BAECD\n",
            "BAEDC\n",
            "BCADE\n",
            "BCAED\n",
            "BCDAE\n",
            "BCDEA\n",
            "BCEAD\n",
            "BCEDA\n",
            "BDACE\n",
            "BDAEC\n",
            "BDCAE\n",
            "BDCEA\n",
            "BDEAC\n",
            "BDECA\n",
            "BEACD\n",
            "BEADC\n",
            "BECAD\n",
            "BECDA\n",
            "BEDAC\n",
            "BEDCA\n",
            "CABDE\n",
            "CABED\n",
            "CADBE\n",
            "CADEB\n",
            "CAEBD\n",
            "CAEDB\n",
            "CBADE\n",
            "CBAED\n",
            "CBDAE\n",
            "CBDEA\n",
            "CBEAD\n",
            "CBEDA\n",
            "CDABE\n",
            "CDAEB\n",
            "CDBAE\n",
            "CDBEA\n",
            "CDEAB\n",
            "CDEBA\n",
            "CEABD\n",
            "CEADB\n",
            "CEBAD\n",
            "CEBDA\n",
            "CEDAB\n",
            "CEDBA\n",
            "DABCE\n",
            "DABEC\n",
            "DACBE\n",
            "DACEB\n",
            "DAEBC\n",
            "DAECB\n",
            "DBACE\n",
            "DBAEC\n",
            "DBCAE\n",
            "DBCEA\n",
            "DBEAC\n",
            "DBECA\n",
            "DCABE\n",
            "DCAEB\n",
            "DCBAE\n",
            "DCBEA\n",
            "DCEAB\n",
            "DCEBA\n",
            "DEABC\n",
            "DEACB\n",
            "DEBAC\n",
            "DEBCA\n",
            "DECAB\n",
            "DECBA\n",
            "EABCD\n",
            "EABDC\n",
            "EACBD\n",
            "EACDB\n",
            "EADBC\n",
            "EADCB\n",
            "EBACD\n",
            "EBADC\n",
            "EBCAD\n",
            "EBCDA\n",
            "EBDAC\n",
            "EBDCA\n",
            "ECABD\n",
            "ECADB\n",
            "ECBAD\n",
            "ECBDA\n",
            "ECDAB\n",
            "ECDBA\n",
            "EDABC\n",
            "EDACB\n",
            "EDBAC\n",
            "EDBCA\n",
            "EDCAB\n",
            "EDCBA\n"
          ]
        }
      ]
    }
  ]
}