Imagine there are $5$ women and $5$ men on a disco. Two of the gals have two brothers within the guys.
(image shows sibling relations)
In how many different ways can female-male couples be arranged if siblings are not allowed to dance together?
Now, I've cheated a bit and got the answer, $48$ different combinations, using a computer program. But I'm having trouble trying to find a more elegant and general mathematical solution to this problem.