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- anonymous

Help with mathematical combinations please.
Points A, B, C, D, E, F, G, H, and I are arranged in two rows such that we have A - B - C - D - E and
F - G - H - I
How many triangles can be formed having vertices chosen from these points?
How many of these triangles have the point A as one of their vertices?

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- anonymous

- chestercat

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- anonymous

Sorry it is A - B - C - D - E
F - G - H - I

- anonymous

Awesome thank you for visiting unklerhaukus!!!

- UnkleRhaukus

|dw:1360476356312:dw|

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- anonymous

Yes they are to act as the vertices of triangles.

- UnkleRhaukus

so either
two points are from the top line (and one from the bottom line)
or
one point is from the top line (and two from the bottem line)

- anonymous

Hmm i see, let me try that, i wasnt sure how to interpret it.

- UnkleRhaukus

because if all three points were on the same line , you couldn't make a triangle

- anonymous

Yes that appears to work, 5C1 x 4C2 and 5C2 x 4C1 which adds to 70

- anonymous

Though can I ask how you determine how to do these questions? I havent really got a problem solving type of mind, so i find it difficult to think laterally.

- UnkleRhaukus

\[^nC_k = \frac{n!}{k!(n-k)!}\]

- anonymous

No i understand the general formula of the combination theory. I just often have difficulty understanding how I am meant to approach the question, what guidelines I need to follow.

- anonymous

Once you had explained those guidelines i knew exactly what to do, i just dont know how to determine the parameters to follow.

- UnkleRhaukus

i like to start with a picture usually

- anonymous

Are there any other tricks you can use to figure out whats going on? or is it just trying to pull apart the question, and making assumptions to rules.

- UnkleRhaukus

im not sure how to answer that,

- anonymous

Ah well, im sure i'll just have to pick it up as I go. You've helped enough already. Thank you very much for the assistance. I wish you a good afternoon. Thank you for the help mate, I appreciate the effort :) Have a good one mate, and stay well!

- UnkleRhaukus

sometimes rewriting the question into a simpler form can help

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