2008 RJC P2 Q6
A group of $12$ students consisting of $6$ girls and $6$ boys are to be seated at tables A, B and C, each with $4$ chairs numbered $1$, $2$, $3$ and $4$ as shown below.
Find the number of ways this can be done if
(i)
there is no restriction,
(ii)
there are $2$ girls and $2$ boys at each table,
(iii)
there are $2$ girls and $2$ boys at each table and students of the same gender are seated opposite each other.
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