You have one pile of 10 building blocks, each one a different color, and you also have another pile of 6 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 2 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) P(10,4) · P(6, 2) (B) C(10,4) · C(6, 2) (C) C(16,6) (D) 216 (E) P(16,6) (F) 210 (G) P(10,4)+P(6, 2) (H) C(10,4)+C(6, 2)

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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.