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IME 2610 Homework #1*This assignment is due in class on 9/23. Please show work so that partial credited can be awarded.1. Four individuals have applied to fill two identical positions at a company. The five individuals are:James, Derek, Melissa, and Nancy. As the hiring manager it is your job to fill these positions. For thefollowing questions remember that there aretwopeople per “selection”.B. Let A be the set of selections containingat leastonemale. How many elements are in this set?C. Let B be the set of selections containingexactly onemale. How many elements are in this set?D. List the elements in:?̅, AB, A U B and??̅̅̅̅2. Which of the following tools can be used to display categorical data? Choose all that apply..A. Pareto ChartB. HistogramC. Percentage PolygonD. Pie ChartE. Bar ChartF. Cumulative PolygonG. Contingency TableH. Stem and Leaf Plot