There are \(x\) children and \(y\) chairs arranged in a circle in a room where \(x\) and \(y\) are prime numbers. In how

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There are \(x\) children and \(y\) chairs arranged in a circle in a room where \(x\) and \(y\) are prime numbers. In how many ways can the \(x\) children be seated in the \(y\) chairs (assuming that each chair can seat exactly one child)?

1. \(x+y=12\)
2. There are more chairs than children

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