document.write( "Question 704507: how many ways can 3 kids be selected from 12? \n" ); document.write( "
Algebra.Com's Answer #434118 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! There are 12 ways to choose the first kid\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 12-1 = 11 ways to choose the next kid (assuming the first kid can't be placed back in the mix and potentially chosen again)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 12-2 = 10 ways to choose the third kid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 12*11*10 = 1320 different ways to choose 3 kids where order matters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If order does not matter, then you'll have to divide by 6 because there are 3! = 6 ways to arrange any particular group. So if order does not matter, then there are 1320/6 = 220 different ways.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Summary:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If order does matter, then there are 1320 different ways\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If order does NOT matter, then there are 220 different ways\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, you can email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( " |