A) 106
B) 105
C) 60
D) 55
Correct Answer: A
Solution :
Required number of lines = (number of lines made by 16 points) - (number of lines made by 6 collinear points) + 1 \[{{=}^{16}}{{C}_{2}}{{-}^{6}}{{C}_{2}}+1\] \[=\frac{16\times 15}{2\times 1}-\frac{6\times 5}{2\times 1}+1\] \[=120-15+1\] \[=106\]
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