Math  /  Diagram & Picture

QuestionFill in the Venn diagram using: n(A)=30n(A)=30, n(B)=38n(B)=38, n(C)=23n(C)=23, n(AB)=12n(A \cap B)=12, n(BC)=14n(B \cap C)=14, n(AC)=5n(A \cap C)=5, n(ABC)=2n(A \cap B \cap C)=2, n(U)=71n(U)=71.

Studdy Solution
Calculate the number of elements that are not in any of the sets A, B, or C.
n(U(ABC))=71303823+12+5+142=9n(U \setminus (A \cup B \cup C)) =71 -30 -38 -23 +12 +5 +14 -2 =9The numbers to fill in the Venn diagram are as follows- The number of elements only in set A15- The number of elements only in set B14- The number of elements only in set C6- The number of elements in the intersection of sets A and B but not C10- The number of elements in the intersection of sets B and C but not A12- The number of elements in the intersection of sets A and C but not B- The number of elements in the intersection of sets A, B, and C2- The number of elements not in any of the sets A, B, or C9

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