Out of 18 points in a plane, no three are in the same straight line except 5 points which are collinear. How many straight lines can be formed by joining them?

143

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145

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144

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288

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Solution

The correct option is C
144

18 points are given out of which 5 are collinear.

The number of straight lines $18_{C_{2}} - 5_{C_{2}} + 1 = 144$

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Out of 18 points in a plane, no three are in the same straight line except 5 points which are collinear. How many straight lines can be formed by joining them?

The correct option is C 144 18 points are given out of which 5 are collinear. The number of straight lines 18C2−5C2+1=144

The correct option is C
144

18 points are given out of which 5 are collinear.

The number of straight lines $18_{C_{2}} - 5_{C_{2}} + 1 = 144$