3. The Sierpinski carpet is constructed by removing the center one-ninth of a square of side 1, then removing the cent of the eight smaller squares, and so on an infinite number of times (See figure). Show that the sum of the areas of the removed squares is 1. This implies that the area of the Sierpinski carpet is zero!

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Counting Principles

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 the possible item groups or their sorting measures can be determined with counting principles.