Advertisements
Advertisements
प्रश्न
If the truth value of the Boolean expression ((p ∨ q) ∧ (q→r) ∧ (∼r))→(p ∧ q) is false, then the truth values of the statements p, q, r respectively can be ______.
विकल्प
FFT
FTF
TFT
TFF
MCQ
रिक्त स्थान भरें
Advertisements
उत्तर
If the truth value of the Boolean expression ((p ∨ q) ∧ (q→r) ∧ (∼r))→(p ∧ q) is false, then the truth values of the statements p, q, r respectively can be TFF.
Explanation:
| p | q | r | p ∨ q | q→r | ∼r | (p ∨ q) ∧ (q→r) ∧∼r | p ∧ q | (p ∧ q) ∧ (q→r) ∧∼r→p ∧ q |
| T | T | T | T | T | F | F | T | T |
| T | T | F | T | F | T | F | T | T |
| T | F | T | T | T | F | F | F | T |
| T | F | F | T | T | T | T | F | F |
| F | T | T | T | T | F | F | F | T |
| F | T | F | T | F | T | F | F | T |
| F | F | T | F | T | F | F | F | T |
| F | F | F | F | T | T | F | F | T |
shaalaa.com
Logical Equivalance
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
