Question

    How many triangles can be formed by joining the vertices

    of an hexagon?
    A 18 Correct Answer Incorrect Answer
    B 22 Correct Answer Incorrect Answer
    C 16 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    To find how many triangles can be formed from a hexagon's vertices:   A hexagon has 6 vertices.   A triangle needs 3 vertices.   The number of ways to choose 3 vertices out of 6 is given by combinations: [C(6, 3) = {6!}/{3! x 3!} = 20 Hence, 20 triangles can be formed.

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