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A, B, C, D and E are coplanar points and three of them lie in a straight line. What is the maximum number of triangles that can be drawn with these points as their vertices ?A. 5B. 9C. 10D. 12 |
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Answer» Correct Answer - B Number of triangles using 5 points out of three are on a straight line `= .^(5)C_(3) - .^(3)C_(3) = (5!)/(3!2!) - 1 = (5 xx 4)/(2) - 1` `= 10 - 1 = 9` |
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