MAT 142 3.2 Fundamental Counting Principle

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Description

MAT 142 Problem set

Unit: Probability

Topic: The Fundamental Counting Principle

Directions: Solve the following problems. Please show your work and explain your reasoning.

  1. The Belching Dragon has a family style menu. The menu is a follows:

How many different meals can be made from this menu?

  1. Using the digits 0 9, find out how many 4 digit numbers can be configured based on the stated

conditions:

a. The number cannot start with zero and no digits can be repeated.

b. The number must begin and end with an odd digit.

c. The number must at least 5000 and be divisible by 10. (Repeated digits are okay)

d. The number must less than 3000 and must be even. No digits may be repeated in the

last 3 digits. (That is, 2,234 would be okay but 2,334 would not be okay)

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