Explain how a cardinal number formula can be derived for the case where three sets...
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Explain how a cardinal number formula can be derived for the case where three sets occur. Specifically, give a formula relating n(A UBUC) to n(A), n(B), n(C),n(An B), n(An C), n(B n C), and n(A n B nC). Illustrate with a Venn diagram.Extend the procedure for cardinality from three sets to two sets. Which of the following formulas does this give?A. n(AUBU C) = n(A) + n(B) + n(C) - n(An B)-n(An C)- n(B nC)B. n(AUB UC) = n(A) + n(B) + n(C) n(An B)-n(An C)- n(B nC) + n(An B nC)C. n(AUB UC) = n(A) + n(B) + n(C) - n(An B)- n(An C)- n(B nC) - n(AnBnC)D. n(A UBUC) = n(A) + n(B) + n(C)
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