Answer to Question #81197 in Discrete Mathematics for Imran

Question

Which of the following statements are true and which are false? Give reasons for your answer.
i) (∼ p∨q) and (p ← q) are logically equivalent.
ii) (m+n)! > m!+n! for m, n any positive integers.
iii) The number of distributions of m indistinguishable objects into n distinguishable containers is
the same as the number of non-negative integral solutions of the equation
x1 +x2 +...+xn = m.
iv) Sn, the number of subsets of a set with n elements, satisfies a second order linear homogeneous
recurrence equation with constant coefficients.
v) K3,4 is Hamiltonian.

Answer 1

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