notyouraveragehuman1729

5. (a) The negation of A B is AV-B). (b) The polynomial r3 - 3x² + x + 2 has a rational root. (c) 75 is a valid n in the RSA encryption scheme. (d) If f(z) is a polynomial with complex coefficients and z = i is a root of f(z), then z =-i must also be a root of f(z). (e) A B is logically equivalent to (-B) = (-A). (f) 1 + i is an eighth root of unity.

1. Let A and B be statements. [3 marks) (a) Complete the truth table below. B ABAVBA (-A) |T|1|| TF1 FT| (b) Are (AV B) and ((-A) = B) logically equivalent? Justify your answer.

15. A subcommittee of 3 is selected at random from a committee of 3 men and 7 women. What is the probability that the subcommittee will consist only of women? (A) Í (B) (C) (D) ! (E);}