Further Mathematics 7366: Discrete Topical Past Paper Questions

Bilal and Mayon play a zero-sum game. The game is represented by the following pay-off matrix for Bilal, where x is an integer. (a) The game has a stable solution. Show that there is only one possible value for x Fully justify your answer. (b) State the value of the game for Bila…

(a) The graph G has 2 vertices. The sum of the degrees of all the vertices of G is 6 Draw G [1 mark] (b) The planar graph $P$ is Eulerian, with at least one vertex of degree $x$, where $x$ is a positive integer. Some of the properties of P are shown in the table below. Find the s…

Alli is planting garlic cloves and leek seedlings in a garden. The planting density is the number of plants that are planted per $ m^{2} $ (a) The planting densities and costs are shown in the table below. Alli has £15 to spend on garlic cloves and leek seedlings. Alli needs to p…