A = 180, B = 158, c = 190, A∩B = 13, A∩C = 25, B∩C = 40, and A∩B∩C = 25.  Determine the following: n [(A∩C)∪B]

2 Answers

thilina-g's profile pic

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

Posted on

`n[(AnnC)uu(B)] = n(AnnC)+n(B)- n(AnnCnnB)`

If you draw a venn diagram you cansimply see the above fact

`n[(AnnC)uu(B)] = 25+158 -25 = 158`

 

chandramohan's profile pic

chandramohan | High School Teacher | (Level 1) eNoter

Posted on

A intersection B = 13

A interesection B interction C = 25

This cannot be possible

A intersection B must be greater or equal to 25

then only we can answer

 

or with out above analysis we can tell the answer is 158