Question 1
A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8):
- Prof. D: Slots 7, 5
- Prof. B: Slots 7, 1
- Prof. C: Slots 3, 8, 5
- Prof. E: Slots 7, 4, 5, 8
What is the earliest slot when all can attend?
Step-by-step solution:
1. Find intersection of availability:
Prof. D: [5, 7]
∩ Prof. B: [1, 7]
∩ Prof. C: [3, 5, 8]
∩ Prof. E: [4, 5, 7, 8]
= ∅ (No common slots)
Answer: No common slot available
1. Find intersection of availability:
Prof. D: [5, 7]
∩ Prof. B: [1, 7]
∩ Prof. C: [3, 5, 8]
∩ Prof. E: [4, 5, 7, 8]
= ∅ (No common slots)
Answer: No common slot available