document.write( "Question 1127705: Find the number of different ways that the nine players on a baseball team can lineup \n" ); document.write( "
Algebra.Com's Answer #744164 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Any of 9 players can stand first. (9 options)\r\n" ); document.write( "\r\n" ); document.write( "Any of remaining 8 players can stand second. (8 options)\r\n" ); document.write( "\r\n" ); document.write( "Any of remaining 7 players can stand third (7 options)\r\n" ); document.write( "\r\n" ); document.write( " . . . and so on . . . \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In all, there are 9*8*7*6*5*4*3*2*1 ways = 9! ways = 362880 ways to form different lineup.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the number of all possible permutations of 9 objects.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On Permutations, see the lessons \r \n" ); document.write( "\n" ); document.write( " - Introduction to Permutations\r \n" ); document.write( "\n" ); document.write( " - PROOF of the formula on the number of Permutations\r \n" ); document.write( "\n" ); document.write( " - Problems on Permutations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on Permutations and Combinations\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 lessons are 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( " |