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03 Apr 2017, 00:29
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A
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The circle above has 10 points on its edge. How many different quadrilaterals can be drawn that use four of these points as its vertices?
A. 210
B. 120
C. 60
D. 24
E. 10
Attachment:
image009.gif [ 633 Bytes | Viewed 3412 times ]
03 Apr 2017, 10:11
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Option A
Q. states how many quad.s can be formed using given 10 points on a circle a.k.a. Non-collinear points.
4 points can be chosen out of 10 points in 10C4 ways = 210 ways.
PS - Once 4 points are chosen, we can draw multiple shapes using them, i.e., closed structures or just lines passing through all 4 points. But, for every chosen set of 4 points there can be only one unique quad., as order of points while drawing a quad. doesn't matter.
Hence, in total 210 quad.s can be drawn.
Q. states how many quad.s can be formed using given 10 points on a circle a.k.a. Non-collinear points.
4 points can be chosen out of 10 points in 10C4 ways = 210 ways.
PS - Once 4 points are chosen, we can draw multiple shapes using them, i.e., closed structures or just lines passing through all 4 points. But, for every chosen set of 4 points there can be only one unique quad., as order of points while drawing a quad. doesn't matter.
Hence, in total 210 quad.s can be drawn.
