Write down a suitable mathematical statement that the following symbolic properties can represent.
i)
ii)
i) An equation is a mathematical statement that asserts the equality of two expressions. ___ ______ _____ ___ ___ _________ _______ ______ ____ ___ ____ ____.
_____ ____ ______ _____ ______ ______ __________ _______ ___.
___ __________ ______ _______ ______ ________ _______ _____ _______ ____.
_______ _______ ____ ________ ________ ________ _______.
________ ______ _____ _____ ________ __________ ______ ___ _______.
______ ______ ______ _________ ____ _________ __________ _______.
____ ______ ______ _______ ________ _______ _________ ________ _______ ___ ____.
_____ __________ ___ ________ _________ ______.
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Explain use of the inclusion-exclusion principle with an example.
Mr. Ravi is thin but healthy.
Make the truth table for the following. (3 Marks) [cite: 9, 12]
i) [cite: 14]
ii) [cite: 15]
iii) [cite: 16]
How many different professional committees of 8 people can be formed, each containing at least 4 Managers, at least 2 Public Servants and 2 IT Professionals from a list of 8 Managers, 6 Public Servants and 8 IT Professionals?
Draw Venn diagram to represent the following.
i)
ii)
iii)
What is inductive logic? How is it used in problem-solving? Explain with an example.
What is a tautology? If P and Q are statements, show whether the statement
is a tautology or not.