If A, B and C are three non- empty sets such that n( ABC)=10 and n(AAB)=n(BAC) = n(CAA)=60, then the number of elements in AU BUCis
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Step-by-step explanation:
A={1,2,3,4,5}
B={4,5,6,7,8}
C={7,8,9,10,11}
D={10,11,12,13,14}
(A∩B)∩(B∩C)
=({1,2,3,4,5}∩{4,5,6,7,8})∩({4,5,6,7,8}∩{7,8,9,10,11})
={4,5}∩{7,8}
=ϕ
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