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A convex polygon has n vertices. The number of hexagons that can be formed by joining these vertices such that no side of the hexagon coincides with any side of the polygon is 49. Find n/2.
- 7
- 8
- 9
- 10
Correct answer: 7
Solution
Substituting n = 14 into the formula gives (14/8)*C(8,6) = (14/8)*28 = 49, so n = 14 and n/2 = 7.
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