document.write( "Question 459586: How many committees of four can be selected from a group of seven if the same person must be included in each committee? \n" ); document.write( "
Algebra.Com's Answer #315228 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! How many committees of four can be selected from a group of seven if the same person must be included in each committee? \n" ); document.write( " \r\n" ); document.write( "Suppose the person who must be in each committee is named Bob.\r\n" ); document.write( "\r\n" ); document.write( "The problem amounts to selecting 3 from the 6 people besides Bob\r\n" ); document.write( "to put in a committee with Bob. So the answer is \"6 things choose 3\".\r\n" ); document.write( "\r\n" ); document.write( "6C3 = (6*5*4)/(3*2*1) = 120/6 = 30\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |