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You are playing soccer. The players are a mix of 8 adults and 5 children. The coaches tell you to line yourselves up against the

You are playing soccer. The players are a mix of 8 adults and 5 children.

The coaches tell you to line yourselves up against the wall in order to pick teams.

(a) How many ways can you arrange everyone in a line if all children must be separated,

that is, no two children may be beside one another?

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