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At a table in a restaurant, six people ordered roast beef, three ordered dered turkey, two...

At a table in a restaurant, six people ordered roast beef, three ordered dered turkey, two ordered pork chops, and one ordered flounder. Of course, no two portions of any of these items are absolutely identical. The 12 servings are brought from the kitchen.

a. In how many ways can they be distributed so that everyone gets the correct item?

b. In how many ways can they be distributed so that no one gets the correct item?

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