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In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with

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Question: In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with 2 elements in common, what is the maximum number of unique elements in the hybrid set?

Options:

  1. 6
  2. 7
  3. 8
  4. 9

Correct Answer: 7

Solution: 

The maximum number of unique elements is calculated as (5 + 3 - 2) = 6.

In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with

Practice Questions

Q1
In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with 2 elements in common, what is the maximum number of unique elements in the hybrid set?
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-Step Solutions

In a hybrid set scenario, if set D has 5 elements and set E has 3 elements with 2 elements in common, what is the maximum number of unique elements in the hybrid set?
  • Step 1: Identify the number of elements in set D, which is 5.
  • Step 2: Identify the number of elements in set E, which is 3.
  • Step 3: Identify the number of elements that are common to both sets, which is 2.
  • Step 4: To find the maximum number of unique elements in the hybrid set, use the formula: (number of elements in D) + (number of elements in E) - (number of common elements).
  • Step 5: Plug in the numbers: 5 (from set D) + 3 (from set E) - 2 (common elements) = 6.
  • Step 6: Therefore, the maximum number of unique elements in the hybrid set is 6.
  • Set Theory – Understanding the principles of union and intersection of sets to calculate unique elements.
  • Hybrid Sets – Combining elements from different sets while accounting for overlaps.
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