TeachMeFinance.com - explain addition principle of counting
addition principle of counting The term 'addition principle of counting' as it applies to the area of basic math can be defined as 'a principle that allows for the efficient counting of the total number of ways a task can be accomplished when each part of the task consists of counting items from separate groups that do not overlap. For example, how many triangles are in the figure below? The task is to recognize there are three types of triangles (small, medium, and large) where each group does not overlap with another group; i.e., where each type of triangle appears as a member of one and only one group. elementary school: If you want to count the total number of triangles in the figure above, count the number of small-sized triangles (8), count the number of medium-sized triangles (4), and count the number of large-sized triangles (1) and add them together (8 + 4 + 1 = 13). So there are a total of 13 triangles in the figure.If you have a task that can be accomplished through counting a collection of items among disjoint groups, and you count m items in the first group, n items in a second group, and g items in a third group (etc.,) then you can efficiently count the total number of items in the task by using the addition principle of counting. In this example, we would add m plus n plus g or (m + n + g).high school: let A1 and A2 be separate events that may occur at the same time with n1 and n2 possible outcomes for each event, respectively; then the total number of possible outcomes for the two events occurring are n1 + n2'.
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