document.write( "Question 990553: how many 5 element subsets can be found in Set (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20) \n" ); document.write( "
Algebra.Com's Answer #610661 by farohw(175)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C(20,5) = 20!/(20 - 5)!5!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 20!/15!5!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 2,432,902,008,176,640,000/(1,307,674,368,000)*(120)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 15, 504 different 5 element subsets.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |