document.write( "Question 970295: 15 basketball players are to be drafted by 3 professional teams (A,B,C). Each team will draft 5 players. In how many ways can this be done? \n" ); document.write( "
Algebra.Com's Answer #594067 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 15 basketball players are to be drafted by 3 professional teams (A,B,C). Each team \n" ); document.write( "will draft 5 players. In how many ways can this be done? \n" ); document.write( " \r\n" ); document.write( "We can choose 5 players for team A in any of 15 ways. That's 15C5 = 3003 ways.\r\n" ); document.write( "\r\n" ); document.write( "We can then choose 5 players for team B in any of the remaining 10 ways. That's\r\n" ); document.write( "10C5 = 252 ways.\r\n" ); document.write( "\r\n" ); document.write( "The remaining 5 players will automatically go to team C. That's 5C5 = 1 way.\r\n" ); document.write( "\r\n" ); document.write( "Answer 15C5*10C5*5C5 = 3003*252*1 = 756756\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |