Introduction / Context:
We translate the two given facts into a clear, necessary conclusion without overgeneralizing beyond what is stated.
Given Data / Assumptions:
- There exists a specific worker with exactly five children.
- No other worker has exactly five children.
Concept / Approach:
- Combine existence with uniqueness to form a precise conclusion.
- Avoid adding claims about other workers’ family counts beyond what is warranted.
Step-by-Step Solution:
From the first fact, existence of at least one “five-children” worker is established.From the second fact, uniqueness is established: there is no other such worker.Therefore, exactly one worker in the factory has five children.
Verification / Alternative check:
Other workers may have 0, 1, 2, 3, 4, 6, etc., children; nothing is said about them. The unique-exact conclusion holds regardless.
Why Other Options Are Wrong:
a: Overgeneralization. b: Not implied. c: Not implied. e: Unnecessary because a correct specific conclusion exists.
Common Pitfalls:
Inferring facts about all workers from a single worker’s situation.
Final Answer:
Only one worker in the factory has exactly five children.
Discussion & Comments