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The set (AuuB^(prime))^'uu(BnnC) is equa...

The set `(AuuB^(prime))^'uu(BnnC)` is equal to `A 'uuBuuC` b. `A 'uuB` c. `A 'uuC '` d. `A 'nnB`

A

`A' uu B uu C`

B

`A' uu B`

C

`A' uu C'`

D

`A' nn B`

Text Solution

Verified by Experts

The correct Answer is:
B

We know that, `(A nn B)' = (A' uu B')` and `(A')' = A`
`= (A nn B')' uu (B nn C)`
`= [A' uu (B')'] uu (B nn C)`
`= (A' uu B) uu (B nn C) = A' uu B`
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