Let G be simple connected planar graph. If G has 8 vertices and 11 edges, in how many regions will the graph divide the plane with the edges as the boundaries of each region?

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A: We will solve this problem using principle of mathematical induction.

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Q: QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A…

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Q: Exercise 14.3.34. Compute each of the following. Note that e.g. (123)2 means the same as (123)(123).…

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Q: Find the particular solution for the following differential equation xy' = y+4x° cos? (2. (2) = 0

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A: This question related to group theory . Solution is given below.

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