Given the following Venn diagram, find $n\left[\left(\mathrm{C}^{\mathrm{c}} \cup \mathrm{B}^{\mathrm{c}}\right)^{c}\right]$.
58
54
20
17

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the sets and their elements from the Venn diagram. Set A: {11, 15, 10, 9}, Set B: {15, 5, 9, 11}, Set C: {10, 9, 11, 12}. ‖ ‖ step 2 ⋮ Determine the elements in the complement of set C, $C^c$. Since the universal set U is not fully specified, we assume it includes all elements mentioned: {5, 9, 10, 11, 12, 15}. Thus, $C^c$ = {5, 15}. ‖ ‖ step 3 ⋮ Determine the elements in the complement of set B, $B^c$. Using the same universal set, $B^c$ = {10, 12}. ‖ ‖ step 4 ⋮ Find the union of the complements, $C^c \cup B^c$. This results in the set {5, 10, 12, 15}. ‖ ‖ step 5 ⋮ Find the complement of the union, $(C^c \cup B^c)^c$. This includes all elements in the universal set U that are not in {5, 10, 12, 15}. Thus, $(C^c \cup B^c)^c$ = {9, 11}. ‖ ‖ step 6 ⋮ Count the number of elements in $(C^c \cup B^c)^c$. There are 2 elements: 9 and 11. Therefore, $n[(C^c \cup B^c)^c] = 2$. ‖ ∻Answer∻ ⚹ 2 ⚹ ∻Key Concept∻ ⚹Set Operations and Complements⚹ ∻Explanation∻ ⚹The problem involves finding the complement of the union of the complements of two sets within a universal set. This requires understanding and applying set operations and complements.⚹◊What is the formula for finding the complement of a set, denoted by $A^c$?⍭ Generate me a similar question◊

Sia