Write down suitable mathematical statement that can be represented by the following symbolic properties.
i)
ii)
iii)
iv)
i) For all real numbers $x$ and $y$ there exists a real number _________ ______ _______ _______ ______ _______ ____ _________ ________.
_____ _______ _______ ___ ___ ____ __________ ___ ______ __________.
___ ___ ___ _____ _____ ______ ____ ____ _____ ________ __________ _____.
________ ________ ________ __________ ______ ________ ________ ________ ______ ___.
_________ _____ __________ ______ _________.
__________ _____ ___ _____ ___ __________ _____ ____ ____ ________ ________.
_____ __________ ________ ________ ___ ______ _______ ____.
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Three Sets A, B and Care: A= {1, 3,5,7,9,12,13, 15,17}, B= {1,2, 3,7,8,9, 10,17} and C {1,2,7, 8, 10, 11, 12,13,173. Find A B C; A~BUC; ABCand(A~C)
What is a tautology? If P and Q are statements, show whether the statement tautology or not.
A committee consisting of 5 male and2 female workers is to be constituted from 8 male and 9 female workers. In how many distinct ways can this be done?
Prove that
How many wa
ys are there to distribute 29 district items into 5 distinct boxes with:At least two empty box.
i) At least two empty box.
ii) No empty box.
iii) Explain principle of multiplication with an example
Find dual of Boolean Expression for the output (P) of the following logic circuit.
A and B are mutually exclusive events such that P(A) = 1/4 and P(B)= 1/2 and P (AU B) = 1/6. What is the probability of P(A ∩ B)?