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Bunuel
The circle above has 5 points on its edge. How many different quadrilaterals can be drawn that use four of these points as its vertices?

A. 120
B. 24
C. 20
D. 5
E. 4


Since the circle has 5 points on its edge and we need to create quadrilaterals, each of which has 4 vertices, the number of ways to create those quadrilaterals using the 5 points is 5C4 = 5!/4!(5-4)! = 5.

Answer: D
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Hi All,

The wording of this prompt implies that there should be a picture involved (although whether there's currently a picture there or not, you can draw your own picture and solve this problem without doing ANY complex math whatsoever). Here's how...

1) Draw a circle and place 5 points on its circumference.
2) Label the points A, B, C, D and E.
3) Draw as many unique quadrilaterals (4-sided shapes) using those points as you can (hint: your list will be a short list).

The possible quadrilaterals would be....
ABCD, ABCE, ABDE, ACDE, BCDE. Total = 5

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Hello from the GMAT Club BumpBot!

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