# SOLUTION: For sets A and B, n(A union B) = 48,n(A)=35, and n(A intersection B)=12. Find n(B). My answer is 13 but I'm not sure. Thanks for checking.

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: For sets A and B, n(A union B) = 48,n(A)=35, and n(A intersection B)=12. Find n(B). My answer is 13 but I'm not sure. Thanks for checking.      Log On

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 Click here to see ALL problems on Matrices-and-determiminant Question 45444This question is from textbook Finite math : For sets A and B, n(A union B) = 48,n(A)=35, and n(A intersection B)=12. Find n(B). My answer is 13 but I'm not sure. Thanks for checking.This question is from textbook Finite math Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!For sets A and B, n(A union B) = 48 that is there are in all 48 elements in both A and B sets,counting repeat/common items once only ,n(A)=35, that is there are 35 elements in A and n(A intersection B)=12. that is there are 12 elements common to both A and B if n(B)=x...then n(A u B)=35+x-12...since 12 are common to both A and B..hence 48=35+x-12 x=48+12-35=25 n(B)=25 Find n(B). My answer is 13 but I'm not sure. Thanks for checking.