GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
76 views
The Set (A U B U C) ∩ (A ∩ B' ∩ C')' ∩ C' is equal to
1. B ∩ C'
2. A ∩ C
3. B' ∩ C'
4. None of these
asked in Set Theory & Algebra by Veteran (14.5k points)   | 76 views
option 1 ) ans

1 Answer

+1 vote

 (A U B U C) ∩ (A ∩ B' ∩ C')' ∩ C'

to solve these type of question use boolean algebra method 
 (A +B +C) (A + B' + C')' C

(A +B +C) (A'C' + BC' + CC')

(A +B +C) (A'C '+ BC ')
 
BC'
so B ∩C'

answered by Veteran (19.9k points)  
given answer is None
I think your answer is correct, and given anser 'None" is wrong
yes option 1 is correct ans :)
(A ∩ B' ∩ C')' ∩ C'

 intersection will be change to union while opening complement  (A ∩ B' ∩ C')'  and than multiply with C'
without de morgans rule?
first we have to demorgan rule
yes sry,....option is a only..i missed one compliment earlier...my mistake :)


Top Users Mar 2017
  1. rude

    4008 Points

  2. sh!va

    2984 Points

  3. Rahul Jain25

    2804 Points

  4. Kapil

    2604 Points

  5. Debashish Deka

    2050 Points

  6. 2018

    1406 Points

  7. Vignesh Sekar

    1292 Points

  8. Bikram

    1204 Points

  9. Akriti sood

    1162 Points

  10. Sanjay Sharma

    964 Points

Monthly Topper: Rs. 500 gift card

21,435 questions
26,746 answers
60,901 comments
22,916 users