document.write( "Question 1063275: Good day! Please help me in my math homework.\r
\n" );
document.write( "\n" );
document.write( "In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot?\r
\n" );
document.write( "\n" );
document.write( "Would really appreciate your help. Thank you! \n" );
document.write( "
Algebra.Com's Answer #678342 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The assumption is that 2 students in the front seat and 3 students in the back seat is modeled by \"arranging 5 students in 5 chairs\" \n" ); document.write( ": \n" ); document.write( "(1) Since order is not important, then we have \n" ); document.write( "************** \n" ); document.write( "5! = 120 ways \n" ); document.write( "************** \n" ); document.write( ": \n" ); document.write( "(2) There are 3 possibilities for the driver's seat \n" ); document.write( "3C1 = 3! / (1! * (3-1)!) = 3 \n" ); document.write( "so we multiply 3 times 4! = 72\r \n" ); document.write( "\n" ); document.write( "************************************************************************* \n" ); document.write( "There are 72 ways if only 3 of the 5 can drive and others cannot \n" ); document.write( "************************************************************************* \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |