document.write( "Question 1204306: In how many ways can a group of 10 people be divided into three groups consisting of 4,3, and 3 people? \n" ); document.write( "
Algebra.Com's Answer #840475 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "We use the formula of combinations nCr where n represents the total number of items and r \n" ); document.write( " is the number of items taken at the time\r \n" ); document.write( "\n" ); document.write( "First group 4 people from the 10 \n" ); document.write( "C(10,4)=210 \n" ); document.write( "Second group 3 from balance (10-4)=6 \n" ); document.write( "C(6,3)=20 \r \n" ); document.write( "\n" ); document.write( "Third group 3 from 3 , 1 group\r \n" ); document.write( "\n" ); document.write( "Total ways = 210 * 20 = 4,200 ways.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |