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GRE数学题The maximum possible number of lines determined by n p

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GRE数学题
The maximum possible number of lines determined by n points(n>1)和 n(n-1)/2比较大小
GRE数学题The maximum possible number of lines determined by n p
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To have the maximum possible number of lines,every 2 points would form a different line.Choose the first point (n possibilities),then choose the 2nd point (n-1 possibilities).Total of n(n-1) possibilities.However,AB and BA are the same line,the maximum possible number of lines is half of n(n-1):n(n-1)/2