Counting Principles-
Write a report that answers the following questions and meet the list of requirements that follows.
Be sure to describe or define the Fundamental Counting Principle, combinations, and permutations in your paper introduction. Include detailed calculations and solutions in the body of your paper.
Questions:
1. How many ways can three dogs and four cats be selected from a group of three dogs and eight cats?
2. To log into your laptop, a four-character code must be entered. The code must use the digits 0 through 9 or the symbols @, #, %, or &. If digits and symbols cannot be repeated, how many four-character codes can be created?
3. A restaurant allows you to order a salad that includes five ingredients. Your choice of ingredients includes eight types of vegetables, two types of cheese, and three types of meat. How many unique, five-ingredient salads can be created?