AP EAMCET · Maths · Permutation Combination
Ten points are marked on a circle. Number of distinct convex polygons of three or more sides can be drawn using some or all of the ten points as vertices is
- A \(978\)
- B 1013
- C 968
- D 999
Answer & Solution
Correct Answer
(C) 968
Step-by-step Solution
Detailed explanation
Number of points \(N = 10\). Polygons of 3 or more sides = \( \sum_{k=3}^{10} \binom{10}{k} \). \( \sum_{k=0}^{10} \binom{10}{k} = 2^{10} \). \( \sum_{k=3}^{10} \binom{10}{k} = \sum_{k=0}^{10} \binom{10}{k} - \left( \binom{10}{0} + \binom{10}{1} + \binom{10}{2} \right) \).…
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