All right, so let's read the question we need to identify the number of line segments in this figure
that that is given the what are the points over here?
We can see that the marked points are A, B, C, D and E, we could mark an infinite number of points
in between them.
All right.
But the question asks us to identify the number of line segments in this figure.
Right.
All right.
Now, let's try to do that starting at M, how many line segments can I draw?
I could have A, B, C, D or E, right.
Is a line segment.
Right.
But let me just quickly right over here.
So this would be a red line segment a B similarly.
What is the line segment.
Easy.
I take only this much.
This is line in segment easy.
Similarly I have D, which is also a line segment and I have E which is also a line segment.
All right.
So I can see that I have four line segments over here.
Right now, let me start from B and draw all the possible line segments starting at B, I have B, C
Beauty and B and all that, we are not including B because we have already considered it over here.
Right.
So we don't want to count the same line segment two times.
So we don't include B, which is the same as A, B except B, what are the other line segments that
we get starting from B we have B, C, that's this part over here, right.
This is B, C, we have Beardie, that's this line segment and we have B, E, right.
But that is how many line segments.
That's three line segments.
Right.
All right, now, starting at point C, I could get how many line segments I can get two line segments
and starting in point B, I can get one line segment starting in point C, I can get this one that's
KDDI or C, E, and I am not counting B because CBS already counted over here.
I am not counting C because he is already counted over here.
So I do not want to count the same line segment two times because then I would get the wrong answer.
All right.
So I can get two new line segments starting at C and starting a D, I get only D, all the other ones
B, C, DB and B are already counted like the same as eighty.
DB is the same as Beedi and you have already counted three, which is the same as DC, so we don't count
them.
So there's only one new we get one new line segment that we get.
All right.
Now the question asks us the total number of line segments that we can form out of this given figure.
So that is equal to or plus three plus two plus one or three, two and one.
And if you add this four plus three, seven, seven plus two is nine, nine plus one is ten.
And that is your answer.