Wo!! polygon in a polygon

How many 1000 - sided polygon can be inserted in a 5000 - sided polygon by joining its vertices with no side common with that of polygon.

Your answer can be represented as 5 × x C y 5 \times xCy . , where C is a combinatorics symbol.

Enter your answer as min { x + y x + y }


Try my set : Let's play with polygons


The answer is 4998.

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1 solution

Edit the problem by asking to find minimum value of x+y to avoid confusion as it could be 3999C999 or 3999C3000

Thanks! Done

Aniket Sanghi - 5 years, 2 months ago

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Hey, for your problems in the set use ( n r ) \dbinom{n}{r} for representing. It'll look better and also people will know about it , so you don't need mention every time.

Vignesh S - 5 years, 1 month ago

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I am unable to write like that .... how to write that ?

Aniket Sanghi - 5 years, 1 month ago

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@Aniket Sanghi \dbinom{n}{r} to get ( n r ) \dbinom{n}{r}

Vignesh S - 5 years, 1 month ago

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@Vignesh S Thanks! Bro. I will update it soon!

Aniket Sanghi - 5 years, 1 month ago

What's the general formula. Please.

Jun Arro Estrella - 5 years, 1 month ago

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