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a) Which of the following sentences are statements? Give reasons for your answer. i) Are the buses running today? ii) What a pleasant weather! iii) x2 +1 = 0 for a real value of x. iv) Every odd number is a prime. b) Let t(n) denote the number of ways in which 2n tennis players can be paired to play n matches. Determine a recurrence equation for the sequence t(n). c) Show that any tree with exactly two vertices of degree 1 is a path.
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