Latest m4maths Aptitude Question SOLUTION: There are 10 points in a plane out of which 4 are collinear. How many lines can be drawn.

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(#M40010608) M4MATHS question Keep an EYE

There are 10 points in a plane out of which 4 are collinear. How many lines can be drawn.

Asked In m4maths PARAG KAMRA (12 years ago)

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Anil Sinha  (12 years ago)

10C2 -4C2+1 = 45-6+1= 40 lines

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kiran ks  (12 years ago)

40 total lines.

the first line made is by the colinear points, giving you one line.

each of the four colinear points can make a line with the 6 others, giving you

4*6= 24 more lines (25 in total)

then, each of the 6 points can make a line with five other points that are not in the colinear line.

The first of the 6 makes a line with the next five, giving you five lines, the second of the 6 has already made a line with the first when the first drew all of its lines out, so it can only make 4 more lines, the third of the six has already made a line with the first two, it only has three lines it can draw, the pattern continues giving you

5+4+3+2+1= 15 lines

add that to the original 25 made by the colinear points and you get 40 lines in total.

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Girish Damodar Ballampalli  (11 years ago)

1+6C2=1+15=16

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