document.write( "Question 1113559: In how many ways can a president, vice president, and secretary be chosen from a class of 30 students? \n" ); document.write( "
Algebra.Com's Answer #728632 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "In 30*29*28 ways:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Any of 30 students can be chosen for the president position;\r\n" ); document.write( "\r\n" ); document.write( "any of remaining 29 students can be chosen for the vice-president position; and, finally\r\n" ); document.write( "\r\n" ); document.write( "any of remaining 28 students can be chosen for the secretary position.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It gives you this value.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The order in which they occupy the three positions does matter, so in this problem permutations must be used.\r\n" ); document.write( "\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( "in this site.\r \n" ); document.write( " \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( " \n" ); document.write( " |