A bookstore manager wants to select one novel from each category. There are 3 different fantasy novels, 2 different sci-fi novels, and 3 different mystery novels. How many different selections can be made? a. For this example, what formula will we need to use? n! O Perumtation Rule #2: rp! .... n! O Permutation: „P, (n-r)! n! O Combination: C, = %3D (n - r)! r! O Fundamental Counting Rule: k k2 k3. . kn .... b. Please explain how we know we are supposed to use that formula. O We are picking from one group multiple times and order does not matter. OWe are rearranging all the items that come from multiple groups (or categories) and within each group there are identical items (repeats). OWe are picking from multiple groups (or categories) and within each group have different choices. OWe are picking from one group multiple times and order matters. c. How many different selections can be made? (Do work on a separate piece of paper) There are different ways to arrange the books on the shelf.

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …