Question

Draw a venn diagram of sets A ,B and C where A subset equal to B , A intersection C doesn't equal to phi , B intersection C doesn't equal to phi . What is the universal set you have chosen? Justify your choice of sets in the diagram?

Answer 1

Answer on Question #74537 – Math – Discrete Mathematics

Question

Draw a Venn diagram of sets $A, B$ and $C$ where $A$ subset equal to $B$, $A$ intersection $C$ doesn't equal to $\emptyset$, $B$ intersection $C$ doesn't equal to $\emptyset$. What is the universal set you have chosen? Justify your choice of sets in the diagram.

Solution

$|A| = 9$ elements

$|B| = 36$ elements

$A \subseteq B$

$|C| = 32$ elements

$|B \cap C| = 7$ elements

$|A \cap C| = 2$ elements

$U = A \cup B \cup C = B \cup C$

$|U| = |B| + |C| - |B \cap C| = 61$ elements

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