Make truth table for followings.
i)p→(~r^~q)^(pvr)
ii)p(rv~q) (~p^~r)
i) For $p\to((\neg r \land \neg q)\land(p\lor r))$ | p | q | r | ¬r | ¬q | (¬r ∧ ¬q) | (p ∨ r) | ((¬r ∧ ¬q) ∧ (p ∨ r)) | p → \[ ((¬r ∧ ¬q) ∧ (p ∨ r)) ] | | - | - | - | -- | -- | --------- | ------- | --------------------- | ------------------------------ | | F | F | F | T | T | T | F | F | T | | F | F | T | F | T | F | T | F | T | ___ _____ ______ __________ __________ ________ ______ ________ __________ _____ _________ ________.
__________ ____ ___ __________ _____ ____ __________ ______ ____ ________ __________.
_____ _______ ____ ____ ___ _______ ________.
_______ _________ ________ _______ __________ ______ _____ ______ _____ _________ _________ ___.
________ __________ _____ _____ _________ _________ __________ __________ __________.
______ ___ _______ ______ ___.
______ _________ ___ _______ ___ ____ ___.
_______ __________ ________ ______ _____ ______ __________ __________.
__________ ____ _____ __________ ____ ________ _________ _____ ________.
_______ _____ __________ ______ _____ _____.
_______ ___ ________ _____ __________ ___ _______ ___ __________ ___ _______.
____ ____ ____ ___ _____ __________ _________ _________ ________ _________ _________ ______.
______ _________ _______ _______ _______ ___.
________ ________ ______ __________ ____ _______ _____ __________ ____ ________ ______ ______.
___ _________ _____ ______ _______ ___ ____ _________ _______ ________ _____ _________.
___ ___ _______ ____ ____ ________ ____ ______ __________ ______ ______ ______.
______ ______ ______ ________ _______ ________ ________ __________.
__________ ________ ____ _____ _________ _____ _________ ___ _____ ________.
________ ________ ____ _______ _________ ________ _____ ___ ______ _________ _____ ____.
___ ________ __________ ________ _______ __________ ___ __________.
________ ____ __________ _______ ________ ____ ____ _____ ______ ______ _____.
_________ ______ __________ __________ _______ ________ _______ ___.
_____ _________ ______ ___ ________.
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_________ ______ _______ _________ _________ ____.
______ _____ ____ ___ _______ __________ _______ _______ ____ _____ _________ _____.
____ ________ ______ _________ _______ ______ ___.
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______ __________ _______ ____ _______ __________ ___ _____ ______ _______ ____.
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__________ ______.
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Draw logic circuit for the following Boolean expressions:
i)
ii)
iii)
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?
How many wa
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i) At least two empty box.
ii) No empty box.
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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)?
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