document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #238871 by palanisamy(496) $\"\"$ $\"About$

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First consider the point P. We can draw 4 distinct lines through PandS, P and T, P and U , P and V.
\n" ); document.write( "Similarly we can draw 4 lines through Q and each of the four points on the second line.
\n" ); document.write( "At last we can draw 4 lines through R and each of the four points on the second line.
\n" ); document.write( "So altogether we can draw 12 distinct lines
\n" ); document.write( "ANOTHER METHOD
\n" ); document.write( "Join each of the three points on each of the four points on the second line.
\n" ); document.write( "We can draw 3*4 = 12 distinct lines \n" ); document.write( "

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