Sketch a regular hexagon. a) Connect the interior vertices with straight lines3; no line can cross over another. Observe the number of triangles that appear. b) What is the sum of the interior angles of the hexagon? c) What is the measure of an exterior angle of the regular hexagon? d) A line from the center of the regular hexagon to a side measures 6cm, and bisects the side at a 90° angle ('bisects' means cut in half). The side of the regular hexagon is also 6cm . What is the distance from the center of the regular hexagon to a vertex? Round vour solution to th

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.