document.write( "Question 1177945: Alan packed his orange, white, red, violet, and yellow shirts. Also his brown, black, and blue shorts for a three-day vacation. How many outfits (shirts and shorts) can he wear?\r
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document.write( "Our topic is permutations. I have a hard time answering this question :( It would mean a lot if you could help me so I can understand it. Thank you! \n" );
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Algebra.Com's Answer #807100 by ikleyn(52800)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The number of all possible outfits is the number of different pairs of colors (shirt,short).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For shirts, you have 5 colors.\r\n" ); document.write( "\r\n" ); document.write( "For shorts, you have 3 colors.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The number of all possible pairs of colors is 5*3 = 15.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the number of all possible outfits is 15. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In Math, this method of calculating of outfits is called \"Fundamental counting principle\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It works in many typical Combinatorics problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - Fundamental counting principle problems \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II \n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |