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Question Number 245 by 123456 last updated on 25/Jan/15

$$\mathrm{A}=\{0,2,4,6,8,10\}$$$$\mathrm{B}=\{0,1,3,4,6,7,9\}$$$$\mathrm{C}=\{1,2,4,5,7,8,10\}$$$$\mid (\mathrm{A}\cup \mathrm{B})\cap (\mathrm{B}\cup \mathrm{C})\mid$$

Answered by mreddy last updated on 17/Dec/14

$$\mathrm{A}\cup \mathrm{B}=\{0,1,2,3,4,6,7,8,9,10\}$$$$\mathrm{B}\cup \mathrm{C}=\{0,1,2,3,4,5,6,7,8,9,10\}$$$$(\mathrm{A}\cup \mathrm{B})\cap (\mathrm{B}\cup \mathrm{C})=\{0,1,2,3,4,6,7,8,9,10\}$$$$\mid (\mathrm{A}\cup \mathrm{B})\cap (\mathrm{B}\cup \mathrm{C})\mid =10$$

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