There are p points in a plane, no three of which are in the same straight line with the…
Mathematics · JEE Main · NTA Exams — Permutations and Combinations
There are p points in a plane, no three of which are in the same straight line with the exception of q points which are all in the same straight line. Find the number of straight lines.
- \({ }^{\mathrm{a}} \mathrm{C}_{2}\)
- \({ }^{\mathrm{a}} C_{2}-{ }^{\mathrm{a}} C_{2}\)
- \({ }^{\mathrm{a}} C_{2}-{ }^{\mathrm{a}} C_{2}+1\)
- None of these
Answer
(C) ^ a C_ 2 - ^ a C_ 2 +1
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