Example of set theory, Mathematics

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Suggest me the solution:

Consider the given universal set T and its subjects C, D and E

T = {0, 2, 4, 6, 8, 10, 12}

C = {4, 8,}

D = {10, 2, 0}

E = {0}

Find out

ii) D ∩ E

iii) C ∩ D ∩ E


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Solution

i) D ∩ E = {10, 2, 0} ∩  {0} = {0}

ii) C ∩ D ∩ E = {4, 8} ∩  {10, 2, 0}  ∩ {0} = { } = Ø

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