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The number of diagonals in an n-sided polygon is given by

nC2 - n (where n is the number of sides of the polygon)

or in the expanded form:

factorial (n) _______________________ {factorial (2) * factorial (n-2)}

substituting (n = 6) for a hexagon we get the number of diagonals as 9.

Similarly, substituting (n=5) for a pentagon we get the number of diagonals as 5.

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