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Combination

There are 16 ...

Question

There are 16 points in a plane out of which 6 are collinear, then how many lines can be drawn by joining these points?

A

120

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B

106

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C

105

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D

None of these

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Solution

The correct option is B
106

Total number of points = 16

Number of collinear points = 6

The numbers of straight lines formed = $^{16} C_{2} -^{6} C_{2}$ + 1 = 120 - 15 + 1 = 106.

6 points are collinear these points will form only one line.

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