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MTH202 Discrete Mathematics Assignment No 01 Spring 2020 Solution

mth202 assignment no 1 2020 | spring 2020

MTH202 Assignment No 01 Spring 2020 Solution

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Q.No. 1 Solution:

P = The number is divisible by 12 ~P = The number is not divisible by 12 q= The number is divisible by 3 and 4. ~q = The number is not divisible by 3 and 4.

Meanings Symbols Called not ~ Tilde if and only if ↔ Double arrow Therefore ∨ Vel

p q ~P ~q ~P↔~q P ∨ q

T T F F T T

T F F T F T

F T T F F T

F F T T T F

 

 

 

 

Test the truth table is valid or invalid: An argument is valid if the conclusion is true when all the premises are true. An argument is invalid if the conclusion is false when all the premises are true.

Premises Premises Premises conclusion

~P↔~q P ∨ q p q

T T T T

F T T F

F T F T

T F F F

← Critical Row

In the First critical row, the conclusion is True when the premises ~P↔~q, P ∨ q , p are true. Therefore, the argument is valid.

Q. No.2 Solution:

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