Using karnaugh map, Mathematics

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a) Using Karnaugh map, show

X': A'BC'D'+ ABC'D'+ A'BCD'+ ABCD'                                                 
                                        

(b) If R is an equivalence relation on set A, prove that R-1 is also an equivalence relation.

(c) Explain Konigsberg's 7 bridges problem  and Euler's solution  to  it.


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