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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

1 Answer

5 votes

Answer:

E) 70

Explanation:

Using combination factorial

a triangle has three vertices and a quadrilateral has 4 vertices

The number of triangles and quadrilaterals = ⁷C₃ + ⁷C₄ =
(7!)/(4!3!) + (7!)/(4!3!) = 70

User Victor Suzdalev
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