Question 13
A university wants to cover all departments {1,2,3,4,5,6,7,8,9} using the minimum number of workshops. Each workshop can train certain departments.
Workshops and coverage:
• W1: {1, 2, 3, 4} • W2: {3, 5, 6} • W3: {2, 7, 8} • W4: {4, 6, 9} • W5: {1, 5, 8}
What is the minimum number of workshops required to cover all departments?