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CBSE Class 11-science Answered

(AUBUC)^(AUB')^C'
Asked by vinodbhaskar375 | 30 Sep, 2021, 07:47: PM
answered-by-expert Expert Answer
(AUBUC)∩(AUB')∩C'
=(A∩(AUB') U B∩(AUB') U C∩(AUB'))∩C'
=(A∩A U A∩B' U B∩A U B∩B' U C∩A U C∩B')∩C'
=(A U A∩B' U B∩A U Ø U C∩A U C∩B')∩C'
=(AUA∩B'UB∩AUC∩AUC∩B')∩C'
=(A∩AUC∩AUC∩B')∩C'
 =(AUC∩AUC∩B')∩C'
=A∩C' U C∩C' ∩ A∩C' U C∩C' ∩ B'∩C'
=A∩C' U Ø ∩ A∩C' U Ø ∩ B'∩C'
=A∩C'∩A∩C'∩B'∩C'
=A∩C'∩B'∩C'
=A∩B'∩C'
Answered by Arun | 01 Oct, 2021, 09:41: AM
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