Question: **Need Urgent Help** 1) A local restaurant has 5 different appetizer items, 8 main dishes, 5 sides and 7 desserts on their menu. In their

**Need Urgent Help**

1) A local restaurant has 5 different appetizer items, 8 main dishes, 5 sides and 7 desserts on their menu.

In their group special for 4, customers can choose 2 appetizer item, 4 mains, 3 side and 1 desserts. If every choice had to be unique (ie can't order 2 spaghetti with meatballs), how many different combinations of this group special is there?

Explain how you got your answer.

2) A professor teaching a Discrete Math course gives a multiple choice quiz that has eight questions, each with four possible responses: a, b, c, d. What is the minimum number of students that must be in the professor's class in order to guarantee that at least three sheets must be identical? (Assume that no answers are left blank.)

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