The number of quadrilaterals that can be made by joining the vertices of a convex polygon of $20$ sides so that, the quadrilaterals do not have any side common with the sides of the polygon are

4826

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4825

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4824

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4823

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Solution

The correct option is A $4825$
Number of quadrilateral formed from polygon of $20$ sides $=^{20} C_{4} = 4845$
These also include the ones which are side of the polygon which we will have to exclude
So, total $= 4845 - 20 = 4825$
Hence, option 'B' is correct.

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The number of quadrilaterals that can be made by joining the vertices of a convex polygon of 20 sides so that, the quadrilaterals do not have any side common with the sides of the polygon are

The correct option is A 4825Number of quadrilateral formed from polygon of 20 sides=20C4=4845These also include the ones which are side of the polygon which we will have to excludeSo, total =4845−20=4825Hence, option 'B' is correct.

The number of quadrilaterals that can be made by joining the vertices of a convex polygon of $20$ sides so that, the quadrilaterals do not have any side common with the sides of the polygon are

The correct option is A $4825$
Number of quadrilateral formed from polygon of $20$ sides $=^{20} C_{4} = 4845$
These also include the ones which are side of the polygon which we will have to exclude
So, total $= 4845 - 20 = 4825$
Hence, option 'B' is correct.