Given this venn diagram: U=500, A=180 (A as a whole), B=158 (B as a whole), C=215 (C as a whole), A∩B∩C=25, A∩B=13, A∩C=50, B∩C=40

Determine (A∩B∩C)’

Justify using set operations

### 1 Answer | Add Yours

We can write U as union of following complementary sets.

`U = (A nn B nn C) uu (A nn B nn C)'`

`500 = 25+(A nn B nn C)'`

Therefore,

`(A nn B nn C)' = 500- 25 = 475`

`(A nn B nn C)' = 475`

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