4. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. Hint 5. How many quadrilaterals can you draw using the dots below as vertices (corners)? Solution 6. How many of the quadrilaterals possible in the previous problem are: a. Squares? b. Rectangles? c. Parallelograms? d. Trapezoids? 2 e. Trapezoids that are not parallelograms?
4. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. Hint 5. How many quadrilaterals can you draw using the dots below as vertices (corners)? Solution 6. How many of the quadrilaterals possible in the previous problem are: a. Squares? b. Rectangles? c. Parallelograms? d. Trapezoids? 2 e. Trapezoids that are not parallelograms?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question

Transcribed Image Text:4. How many triangles are there with vertices from the points shown below?
Note, we are not allowing degenerate triangles - ones with all three vertices on
the same line, but we do allow non-right triangles. Explain why your answer is
correct.
Hint
5. How many quadrilaterals can you draw using the dots below as vertices
(corners)?
Solution
...
6. How many of the quadrilaterals possible in the previous problem are:
a. Squares?
b. Rectangles?
c. Parallelograms?
d. Trapezoids? 2
e. Trapezoids that are not parallelograms?
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