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How many different triangles can be formed?

1. There are $16$ coplanar, straight lines in all.

2. No two lines are parallel.

  1. if both the statements together are insufficient to answer the question.
  2. if any one of the two statements is sufficient to answer the question.
  3. if each statement alone is sufficient to answer the question.
  4. if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
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1 Answer

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Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.

Although it is known that none of the lines are parallel to each other, there might be the case
wherein all the lines have exactly one point of intersection, or eight lines with one point and the other eight with another point of Intersection.

Unless something about the relative arrangement of these lines is known, one cannot arrive at definite answer.

Hence Option A is Correct.
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