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11-01-2020
Mathematics

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?A. 35B. 40C. 50D. 65E. 70

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sampsonola sampsonola

11-01-2020

Answer:

E) 70

Step-by-step explanation:

Using combination factorial

a triangle has three vertices and a quadrilateral has 4 vertices

The number of triangles and quadrilaterals = ⁷C₃ + ⁷C₄ = [tex]\frac{7!}{4!3!} + \frac{7!}{4!3!}[/tex] = 70

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