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Use a Venn Diagram and the given information to determine the number of elements in the indicated set.n(A ∪ B ∪ C) = 157, n(A ∩ B ∩ C) = 21, n(A ∩ B) = 44, and Find Group of answer choices

Question

Use a Venn Diagram and the given information to determine the number of elements in the indicated set.n(A ∪ B ∪ C) = 157, n(A ∩ B ∩ C) = 21, n(A ∩ B) = 44, and Find Group of answer choices

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Solution

To solve this problem, we need to understand the notations and the Venn Diagram.

  1. n(A ∪ B ∪ C) = 157: This means the total number of elements in sets A, B, and C, including those that might be in two or all three sets.

  2. n(A ∩ B ∩ C) = 21: This means the number of elements that are common to all three sets A, B, and C.

  3. n(A ∩ B) = 44: This means the number of elements that are in both sets A and B, including those that might also be in set C.

However, the question seems to be incomplete as it mentions "Find Group of answer choices" but does not provide any choices or further information.

If you want to find the number of elements in a specific set or a combination of sets, you would need additional information such as n(A), n(B), n(C), n(A ∩ C), n(B ∩ C), or n(A ∪ B), n(A ∪ C), n(B ∪ C).

Please provide the complete information to get a specific answer.

This problem has been solved

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