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Ten points labeled a bc d e f g h i j are arranged in a

Question: Ten points labeled A, B,C, D, E, F, G, H, I, J are arranged in a plane in such a way that no three lie on the same straight line.

a. How many straight lines are determined by the ten points?

b. How many of these straight lines do not pass through point A?

c. How many triangles have three of the ten points as vertices?

d. How many of these triangles do not have A as a vertex?

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Mathematics: Ten points labeled a bc d e f g h i j are arranged in a

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