by applying eulers formula = V - E + F = 1 , what will be the answer if v = 6 , e = 9 and f = 8

Dear Student,

Please find below the solution to the asked query:

First of all correct Euler's formula is :

F + V - E  = 2 , Here F =  Number of faces of polygon , F =  Number of vertices of polygon and E =  Number of edges of polygon

And we use that formula if we know any of two variables from ( F , V and E ) to find out the value of third variable .

So, We can't just substitute random values for all three and to see that will justify or not , Or if three values given and do not justify Euler's equation than we can say given three values does not form a polygon .

So , at V = 6 , F = 8 and E  =  9

6 + 8  - 9= 2 ,

5 $\ne$ 2 , So from given information we can't form any polygon .


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