Imagine six points in a plane, no three of which lie on a straight line. In how

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Imagine six points in a plane, no three of which lie on a straight line. In how many ways can the six points be used as vertices to form two triangles? (Hint: Number the points 1 through 6. Call one of the triangles A and the other B. What does the permutation represent?)
Imagine six points in a plane, no three of which
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