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The Boolean Expression for the shaded area in the venn diagram.

  1. $A\bar{C}W + \bar{AB}CW$
  2. $ABC + \bar{A}BW$
  3. $(A+B+C) W$
  4. $AW + \bar{B}W+AB$


I couldn't understand the explaination of the above problem please explain.

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Best answer
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F=a-(b+c)+b-(a+c)+c-(a+c)

=> a(b+c)'+b(a+c)'+c(a+b)'

=>(ab'c'+ba'c'+ca'b')∩W or (ab'c'+a'bc'+a'b'c)W [Because W is a universal set]
And on putting k-map you'll get the same result

Given options are  wrong
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f=(A'B'C +ABC)+(A'BC'+ABC)+(AB'C'+ABC)

 =A'B'C +A'BC'+AB'C'+ABC

=A⨁B⨁C

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