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

thilina-g's profile pic

thilina-g | College Teacher | (Level 1) Educator

Posted on

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`

 

 

We’ve answered 334,040 questions. We can answer yours, too.

Ask a question