document.write( "Question 1151655: Three research department have8,10, and 6 members,respectively.Each department is to select a delegate and an alternate to,represent the department at a conference.In how many ways can this be done? \n" ); document.write( "
Algebra.Com's Answer #773488 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! 8 * 8C2 * 10C2 * 6C2 = \r \n" ); document.write( "\n" ); document.write( "This comes from:\r \n" ); document.write( "\n" ); document.write( "2*8C2 ways to select two from department A (we count each selection twice for delegate & alternate roles)\r \n" ); document.write( "\n" ); document.write( "times\r \n" ); document.write( "\n" ); document.write( "2*10C2 ways to select two from department B\r \n" ); document.write( "\n" ); document.write( "times\r \n" ); document.write( "\n" ); document.write( "2*6C2 ways to select two from department C\r \n" ); document.write( "\n" ); document.write( "-------- \n" ); document.write( "To tutor @ikleyn, I assume it matters. Say A1 goes as delegate and A2 goes as the alternate. If 3 years after the event, someone asks \"Who were the delegates sent three years ago?\" then their answer will be different for this case than if A2 were the delegate, even though both A1 & A2 were there. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |