Question 1006235
If the seats are numbered:
1, 2, 3, 4, 5, 6, 7, 8
Now group them in pairs:
1 2, 3 4, 5 6, 7 8
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There are 4 couples that can occupy ( 1 2 )
After a couple is placed there, there are
3 couples that can occupy ( 3 4 ), and so on
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{{{ 4*3*2*1 = 24 }}} are the ways couples can be seated
but they can be ( male female ) or ( female male ),
so there are {{{ 2*2*2*2 = 16 }}} ways to do this, so
{{{ 24*16 = 384 }}} different ways the couples can be seated