document.write( "Question 1137598: How many different groups of 4 officers (president, vice president, treasurer, secretary) can
\n" );
document.write( "be formed from an organization with 35 members? \n" );
document.write( "
Algebra.Com's Answer #755563 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "These groups are ordered and personalized, so the order is important.\r\n" ); document.write( "\r\n" ); document.write( "Therefore, we have a deal with permutations, not with combinations.\r\n" ); document.write( "\r\n" ); document.write( "The answer is 35*34*33*32 = 1256640 different ordered groups.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Everyone of 35 members can be at the president position;\r\n" ); document.write( "\r\n" ); document.write( "everyone of the remaining 34 members can be at the vice president position,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " . . . and so on . . . \r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |