How many different lines pass through a 3x3-point grid if a line only needs two points?

How many different lines pass through a 3x3-point grid if a line only needs two points?

Step-by-step explanation:

The answer being (93)=9! 3! 6! =9⋅8⋅73⋅2⋅1=84 possible arrangements.

Well, there are 9 points. If you choose 2 of them, that gives a straight line. So you can try to find all the ways you can choose two points.

But you over-count, because some lines go through three points. So the question is 1: How many lines go through 3 points? And 2: How many times have you 'over-counted' these lines?

Step-by-step explanation:

x

step-by-step explanation:

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6