# N-gon

How many diagonals has convex 11-gon?

Result

x =  44

#### Solution:

$n = 11 \ \\ C_{{ 2}}(11) = \dbinom{ 11}{ 2} = \dfrac{ 11! }{ 2!(11-2)!} = \dfrac{ 11 \cdot 10 } { 2 \cdot 1 } = 55 \ \\ \ \\ x = { { n } \choose 2 } - n = 55 - 11 = 44$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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