A group of $12$ students consisting of $6$ girls and $6$ boys are to be seated at tables A, B

Question

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 there is no restriction, there are $2$ girls and $2$ boys at each table, there are $2$ girls and $2$ boys at each table and students of the same gender are seated opposite each other.

Accepted Answer

(i) $479\,001\,600$ (ii) $111\,974\,400$ (iii) $4\,147\,200$

2008 RJC P2 Q6

2008 RJC P2 Q6

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