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A Certain Sandwich Shop Has a Cooler Full of Sandwiches

Question 7

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A certain sandwich shop has a cooler full of sandwiches. Suppose that 45% of its sandwiches are turkey, 25% are ham, and 30% are vegetable sandwiches. A customer comes in and grabs 14 sandwiches randomly. What is the probability that she gets exactly 7 turkey and at most 3 vegetable sandwiches?

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