1. Using set notation, implement two algebraic expressions that describe the employees who are working in Floor 1 and who are working in Floor 2 using the three original sets M, F and H, and reduce the expressions to their simplest form

Given three multisets, X, Y, and Z as follows:

X = [a:2, c:1, e:5]

Y = [a:8, b:9, c:9, d:2]

Z = [b:5, c:8, d:1]

Research skills and analytical thinking Vocational scenario: A startup company owned by Mr. Garite has three main departments - Human resources department - Financial Department - Management Department Assume that a set of employees in the Financial department is F, a set of employees in the Human resources department is H, and a set of employees in the Management department is M. An employee can be working in two departments at the same time under specific conditions and based on the CEO's approval. You distributed the employees on two floors based on the following rules: - You asked the employees who are working in the Financial and Human Resources Department to work in Floor 1. - You asked the employees who are not working in the Financial department to work in Floor 1. - You asked the employees who are working in the Management and Human resources department to work in Floor 2. - You asked the employees who are working in the Management but not in the human resources department to work in Floor 2