A) \[A\wedge (A\vee B)\]
B) \[A\vee (A\wedge B)\]
C) \[[A\wedge (A\to B)]\to B\]
D) \[B\to [A\wedge (A\to B)]\]
Correct Answer: C
Solution :
| A | B | \[A\vee B\] | \[A\wedge B\] | \[A\wedge (A\vee B)\] | \[A\vee (A\wedge B)\] | \[A\to B\] | \[A\wedge (A\to B)\] |
| T | F | T | F | T | T | F | F |
| F | T | T | F | F | F | T | F |
| T | T | T | T | T | T | T | F |
| F | F | F | F | F | F | T | F |
| \[[A\wedge (A\to B\to B]\] | \[B\to [A\wedge (A\to B)]\] |
| T | T |
| T | F |
| T | T |
| T | T |
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