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Question 333348: The three distinct points P, Q, and R lie on a line +; the four distinct points S, T, U, and V lie on a different line that is parallel to line . What is the total number of different lines that can be drawn so that each line contains exactly two of the seven points?
Answer by palanisamy(496)   (Show Source):
You can put this solution on YOUR website! First consider the point P. We can draw 4 distinct lines through PandS, P and T, P and U , P and V.
Similarly we can draw 4 lines through Q and each of the four points on the second line.
At last we can draw 4 lines through R and each of the four points on the second line.
So altogether we can draw 12 distinct lines
ANOTHER METHOD
Join each of the three points on each of the four points on the second line.
We can draw 3*4 = 12 distinct lines
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