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QUESTION
(a) Consider the graph below, use the Flow Decomposition technique to list the cycles and paths produced.
(b) Prove that the number of paths and cycles found in the flow decomposition is at most m + n - 1.
(c) Consider the diagram below; show how we could always provide a flow of at most 10 on Node 4.
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Using only the digits 1-6 how many five digit numbers can be formed? How many of these have at least a 5? How many of them have either no 5 or no 6?
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