In how many ways can a pair of parallel diagonals of a regular polygon of 10 sides be
selected?
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6 is your answer hhcgzhdghdhdbdbdbhdhf
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There are 4 parallel diagonals. There are 5 such sets since the vertices of the 10-gon can be paired into 5 sets. In each set there are 4C2 pairs, i.e, a total of 4C2×5=30 pairs of diagonals
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