Question

Consider three finite sets A, B and C. Show that: AUBUC| = |A| + |B| + |C| - |A n B-|An Cl - |Bn Cl + JA n B + C; (a)

Do I need to arbitrarily assign cardinal numbers to each of these to solve? Thank you!

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solution tet x and y be two finite set then from venn diagram clearly | xo)| = |x| + 1) - |xn ) – xny. Let x = A, Y = BUC Cas17. JAU (BUC)= AI +1 BUCI - LANB) U(ANC)). - © Now using o we get IBUCI = IBI+1C/- 1B nel 3 again using o we get TANBUANO I =

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