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30 Oct 2019, 00:44
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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76% (01:43) correct
24%
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based on 209
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[GMAT math practice question]
The figure shows that \(l\) is parallel to \(m\) and points \(A, B, C, D, E\) are on line \(l\), and points \(F, G, H, I\) are on the line \(m\). How many quadrilaterals are possible with \(4\) points out of the above \(8\) points?
10.30ps.png [ 15.36 KiB | Viewed 3587 times ]
\(A. 48\)
\(B. 56\)
\(C. 60\)
\(D. 72\)
\(E. 108\)
The figure shows that \(l\) is parallel to \(m\) and points \(A, B, C, D, E\) are on line \(l\), and points \(F, G, H, I\) are on the line \(m\). How many quadrilaterals are possible with \(4\) points out of the above \(8\) points?
Attachment:
10.30ps.png [ 15.36 KiB | Viewed 3587 times ]
\(A. 48\)
\(B. 56\)
\(C. 60\)
\(D. 72\)
\(E. 108\)
30 Oct 2019, 01:09
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A quadrilateral has 4 vertices and we have 9 points.. (5+4)
Select two from 5(line l) = 5c2 = 10
Select two from 4(line m) = 4c2 = 6
10*6 = 60
C
P.s = there are 9 points, not 8*...
Posted from my mobile device
Select two from 5(line l) = 5c2 = 10
Select two from 4(line m) = 4c2 = 6
10*6 = 60
C
P.s = there are 9 points, not 8*...
Posted from my mobile device
03 Nov 2019, 19:25
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=>
To create a quadrilateral, we should choose \(2\) points out of \(5\) points on line \(l,\) and \(2\) points out of \(4\) points on the line m and connect them.
Then we have 5C2*4C2 = \([\frac{(5*4)}{(1*2)}][\frac{(4*3)}{(1*2)}] = 10*6 = 60.\)
Therefore, C is the answer.
Answer: C
To create a quadrilateral, we should choose \(2\) points out of \(5\) points on line \(l,\) and \(2\) points out of \(4\) points on the line m and connect them.
Then we have 5C2*4C2 = \([\frac{(5*4)}{(1*2)}][\frac{(4*3)}{(1*2)}] = 10*6 = 60.\)
Therefore, C is the answer.
Answer: C
