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Which is the simplified representation of `(A' cap B' cap C) cup (B cap C ) cup (A cap C)` where A,B and C are subsets of set X

A

a. A

B

b. B

C

c. C

D

d. `X cap (A cup B cup C)`

Text Solution

Verified by Experts

The correct Answer is:
C
`[(A'cap B' capC) ] cup[(BcapC) cup (A cap C)]`
`=[(A cupB )'capC)]cup[(BcupA)capC]`
`=[(A cup B)'cup(BcupA)] cap C`
`= Xcap C `
= C
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