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Pune University - SY BSc (Sem - II) MATHEMATICS - II (B), April 2010

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Total No. of Questions : 4] [Total No. of Pages : 4 P480 [3717]-202 S.Y. B.Sc. MATHEMATICS Paper - II (B) : Discrete Mathematics (Sem. - II) (New Course) Time : 2 Hours] Instructions : [Max. Marks : 40 1) Figures to the right indicate full marks. 2) Use of single memory, non-programmable scientific calculator is allowed. Q1) Attempt each of the following: [10] a) How many three letter words can be formed from letters in the set {a, b, y, z} if repeated letters are allowed? b) In how many ways can a prize winner choose three CDs from the top ten list if repeats are allowed? c) Show that if any four numbers from 1 to 6 are chosen, then two of them will add to 7. d) Which of the following is linear homogeneous recurrence relation? Why? i) an = (-2) an-1 ii) an = an-1 + 3. e) Give an example of a graph on five vertices with exactly two components. f) Tell whether the following graph has an Euler circuit. Explain. a b d c P.T.O. 3

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Additional Info : S.Y. B.Sc. Mathematics (Semister - II) : Discrete Mathematics Paper - II (B) (New Course), Pune University
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