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How many lines can be drawn so that each contains two points of a set of nine points, and no three of the points of the set are collinear?
O 36
O 48
O 72
O 54
Read Solution (Total 3)
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- 9C2=36,
SELECTION OF 2 POINTS FROM 9 distinct POINTS SUCH THAT THE SAME LINE ARE NOT REPEATED AGAIN.
- 12 years agoHelpfull: Yes(11) No(1)
- 36
no of such lines = 8+7+6+5+4+3+2+1 = 36
because first point can have 8 lines with other 8 points.
next point can have additional 7 lines with other 7 points .
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8th point can have one additional line with 9th point. - 12 years agoHelpfull: Yes(10) No(0)
- ((n*(n-1))/2
- 12 years agoHelpfull: Yes(3) No(2)
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