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प्रश्न
Construct the truth table for the statement pattern (p → q) ∧ [(q → r) → (p → r)] and interpret your result.
बेरीज
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उत्तर
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| p | q | r | p → q | q → r | p → r | (q → r) → (p → r) | (p → q) ∧ [(q → r) → (p → r)] |
| T | T | T | T | T | T | T | T |
| T | T | F | T | F | F | T | T |
| T | F | T | F | T | T | T | F |
| T | F | F | F | T | F | F | F |
| F | T | T | T | T | T | T | T |
| F | T | F | T | F | T | T | T |
| F | F | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T |
The entries in the last column of the above truth table are neither all T nor all F.
∴ (p → q) ∧ [(q → r) → (p → r)] is a contingency.
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Notes
Guidance:
- Columns 4, 5, 6 - 1 mark
- Column 7 - 1 mark
- Column 8 - 1 mark
- Conclusion - 1 mark
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
