Question 1
A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8):
- Prof. B: Slots 7, 8, 6, 3
- Prof. A: Slots 7, 1, 3
- Prof. D: Slots 2, 5
What is the earliest slot when all can attend?
Step-by-step solution:
1. Find intersection of availability:
Prof. B: [3, 6, 7, 8]
∩ Prof. A: [1, 3, 7]
∩ Prof. D: [2, 5]
= ∅ (No common slots)
Answer: No common slot available
1. Find intersection of availability:
Prof. B: [3, 6, 7, 8]
∩ Prof. A: [1, 3, 7]
∩ Prof. D: [2, 5]
= ∅ (No common slots)
Answer: No common slot available