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Let A,B,C be three sets such that Acup...

Let A,B,C be three sets such that `Acup B cup C=U,`where U is the universal set . Then ,
`{(A-B)cup (B-C)cup (C-A)}'`
is equal to

A

`Acup B cup C`

B

`Acup (BcapC)`

C

`Acap BcapC`

D

`Acap (Bcup C)`

Text Solution

Verified by Experts

we have ,
`{(A-B)cup (B-C)cup (C-A)}'`
`=(A-B)' cap (B-C)'cap (C-A)'`
`=Acap B capC. `[ see venn-Diagram]
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OBJECTIVE RD SHARMA-SETS-Section I - Solved Mcqs
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  2. If A,B,C be three sets such that A cup B=A cupC and Acap B=AcapC,...

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  13. If n(A) = 10,n(B) = 6 and n( C ) =5 for three disjoint sets A,B...

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