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已知全集U={1,2,3,4,5,6,7,8,9,10},集合A={2,3,5,9},集合B={4,5,6,7,9},则

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已知全集U={1,2,3,4,5,6,7,8,9,10},集合A={2,3,5,9},集合B={4,5,6,7,9},则(∁UA)∩(∁UB)=(  )
A. {5,9}
B. {2,3}
C. {1,8,10}
D. {4,6,7}
已知全集U={1,2,3,4,5,6,7,8,9,10},集合A={2,3,5,9},集合B={4,5,6,7,9},则
∵全集U={1,2,3,4,5,6,7,8,9,10},集合A={2,3,5,9},集合B={4,5,6,7,9},
∴∁UA={1,2,4,6,7,8,10},∁UB={1,2,3,8,10},
则(∁UA)∩(∁UB)={1,8,10}.
故选:C.