1. How many different meals can be chosen if there are 6 appetizers, 10 main dishes, and 8 desserts, assuming that a meal consists of one item from each category?
2. On an essay test, there are five questions worth 20 points each. In how many ways can a student get 10 points on one question, 15 points on each of three questions, and 20 points on another question?
3. Numbers How many seven-digit numbers are even and have a 3 in the hundreds place?
4. How many telephone numbers are theoretically possible if all numbers are of the form abc-def-ghij and neither of the first two leading digits (a and d ) is zero?
5. Numbers How many three-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, and 7 if no digit is repeated?