document.write( "Question 963423: In a classroom, the same 5 students sit in the first row everyday, and the same 4 students sit in the second row everyday. Each row contains a total of 8 seats. How many different seating arrangements would there be in total if the students were to change their seats in their respective rows daily? \n" ); document.write( "

Algebra.Com's Answer #588600 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
In a classroom, the same 5 students sit in the first row everyday, and the
\n" ); document.write( "same 4 students sit in the second row everyday. Each row contains a total of 8
\n" ); document.write( "seats. How many different seating arrangements would there be in total if the
\n" ); document.write( "students were to change their seats in their respective rows daily?
\n" ); document.write( "

\r\n" );
document.write( "First row:\r\n" );
document.write( "We can choose the first row seats to be used 8C5 ways.\r\n" );
document.write( "We can then choose their seating order in those 5 seats chosen in 5P5 = 5! ways\r\n" );
document.write( "We can then choose the second row seats to be used 8C4 ways.\r\n" );
document.write( "We can then choose their seating order in those 4 seats chosen in 4P4 = 4! ways\r\n" );
document.write( "\r\n" );
document.write( "Answer: 8C5*5P5*8C4*4P4 = 11289600\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );