Astudent is taking a multiple-choice quiz. there are four questions. the first two questions each have four choices (a, b,c, d); the other two questions each have 5 choices (a, b,c, d,e). the student is clueless and decides to guess. from how many different possible sets of answers to the four questions can she pick?

7. design a circuit with three inputs (x, y, and z) representing the bits in a binary number, and three outputs (a, b, and c) also representing bits in a binary number. when the input is 1, 2, or 3, the binary output should be one lesser than the input. when the input is 4, 5, or 6, the binary output should be one greater than the input. when the input is 0, the output is 0, and when the input is 7, the output is 7. show your truth table, all computations for simplification, and the final circuit.