document.write( "Question 1103434: in how many ways can five couples be seated in a row if
\n" ); document.write( "a. there are no restrictions?
\n" ); document.write( "b. each couple must be seated together?
\n" ); document.write( "c. each husband must be seated to the left of his wife? \n" ); document.write( "

Algebra.Com's Answer #718159 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "in how many ways can five couples be seated in a row if\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "a.  there are no restrictions?                             10! = 10*9*8*7*6*5*4*3*2*1 = 3628800 ways.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "b.  each couple must be seated together?                    = 120*32 = 3840 ways  (120 permutations for 5 objects, each of which can be in one \r\n" );
document.write( "                                                          of the two states: (h,w)  or (w,h),  where \"h\" stands for husband and \"w\" stands for wife.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "c.  each husband must be seated to the left of his wife?   5! = 5*4*3*2*1 = 120 ways.\r\n" );
document.write( "

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

\n" );