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If a hybrid set contains elements from three different sets, what can be inferre

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Question: If a hybrid set contains elements from three different sets, what can be inferred about its size compared to the individual sets? (2023)

Options:

  1. It will always be smaller than the smallest set.
  2. It can be larger than the sum of the sizes of the individual sets.
  3. It will be equal to the largest set.
  4. It can be smaller than the sum of the sizes of the individual sets.

Correct Answer: It can be smaller than the sum of the sizes of the individual sets.

Exam Year: 2023

Solution: 

The size of a hybrid set can vary and may be smaller than the sum of the sizes of the individual sets due to overlapping elements.

If a hybrid set contains elements from three different sets, what can be inferre

Practice Questions

Q1
If a hybrid set contains elements from three different sets, what can be inferred about its size compared to the individual sets? (2023)
  1. It will always be smaller than the smallest set.
  2. It can be larger than the sum of the sizes of the individual sets.
  3. It will be equal to the largest set.
  4. It can be smaller than the sum of the sizes of the individual sets.

Questions & Step-by-Step Solutions

If a hybrid set contains elements from three different sets, what can be inferred about its size compared to the individual sets? (2023)
  • Step 1: Understand what a hybrid set is. A hybrid set is a collection that includes elements from three different sets.
  • Step 2: Identify the sizes of the individual sets. Let's say Set A has 3 elements, Set B has 4 elements, and Set C has 5 elements.
  • Step 3: Calculate the total size if there were no overlapping elements. This would be 3 + 4 + 5 = 12 elements.
  • Step 4: Consider that some elements may be the same in different sets. For example, if Set A and Set B both have the element 'X', then 'X' is counted twice in the total size.
  • Step 5: Realize that the hybrid set's size can be less than 12 if there are overlapping elements. For instance, if 'X' is the only overlap, the hybrid set would have 11 unique elements.
  • Step 6: Conclude that the size of the hybrid set can be smaller than the sum of the sizes of the individual sets due to these overlaps.
  • Hybrid Set Size – The size of a hybrid set can be influenced by the presence of overlapping elements from the individual sets.
  • Set Theory Basics – Understanding how union and intersection of sets affect the overall size.
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