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MTH202 Assignment 1 Solution Spring 2018

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Spring 2018_MTH202_1

 

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Q No 1 Wrong

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MTH202 - Discrete MathematicsAssignment 1 Solution

Spring 2018

Question 1:

 Use the truth table to test the validity of the following argument

If you invest in the HBFC, then you get rich.

You didn’t invest in the HBFC.

Therefore, you didn’t get rich.

Solution:

First symbolize the argument.

Let p be the argument”you invest in the HBFC”.

Let q be theargument”you get rich”.

Then the argument has this symbolic form

p → q

~ p

p

q

p → q

~p

~q

T

T

T

F

F

T

F

F

F

T

F

T

T

T

F

F

F

T

T

T

~q

Interpret the truth table.

Notice that in the third row, the conclusion is FALSE while both premises are TRUE.

This tells us the argument is INVALID.

Question 2:

Prove that the statement         is tautology.

Solution:

p

q

~p

~q

p → q

~ q ^ (p → q)

~ q ^ ( p → q ) → ~ p

T

T

F

F

T

F

T

T

F

F

T

F

F

T

F

T

T

F

T

F

T

F

F

T

T

T

T

T

 Hence,

~ q ^ ( p → q ) → ~ p = ‘ t ’

All truth value of statement is equal to ‘ t ’

So it is tautology.

ye len first question thik kr dia ha

Attachments:

negation p hat negation q aaye ga ya negation p implies negation q.. I am confused.. because its conjuction

Sir? Last statement conjuction nahi hay???? if its conjuctiont to iss mei hat aaye ga k implies...

Implies aye ga me ne solution file update kr di hai...

Solved MTH202 Assignment No. 1 Solution. Spring 2018. 

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