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6. [-/5 Points] DETAILS MY NOTES TANFIN12 6.2.030.
Refer to the following Venn diagram.
Find the following. (a) $n\left(A \cup B^{C}\right)$ $\square$ (b) $n\left[A \cap(B \cup C)^{C}\right]$ $\square$ (c) $n\left(A^{C}\right)$ $\square$ (d) $n\left[(A \cup B \cup C)^{c}\right]$ $\square$ (e) $n\left(A^{C} \cup B^{C} \cup C^{C}\right)$ $\square$ Stow My Work

Studdy Solution
Calculate $n(A^C \cup B^C \cup C^C)$.
- $A^C \cup B^C \cup C^C$ includes all regions outside of $A \cap B \cap C$.
$$n(A^C \cup B^C \cup C^C) = 7 + 4 + 8 + 3 + 2 + 5 + 11 + 10 = 50$$
The solutions are: (a) $n(A \cup B^C) = 42$ (b) $n[A \cap (B \cup C)^C] = 0$ (c) $n(A^C) = 38$ (d) $n[(A \cup B \cup C)^C] = 21$ (e) $n(A^C \cup B^C \cup C^C) = 50$