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In a hybrid set, if set D has 5 elements and set E has 3 elements with 2 common

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Question: In a hybrid set, if set D has 5 elements and set E has 3 elements with 2 common elements, 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, if set D has 5 elements and set E has 3 elements with 2 common

Practice Questions

Q1
In a hybrid set, if set D has 5 elements and set E has 3 elements with 2 common elements, 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, if set D has 5 elements and set E has 3 elements with 2 common elements, what is the maximum number of unique elements in the hybrid set?
  • Step 1: Identify the number of elements in set D. Set D has 5 elements.
  • Step 2: Identify the number of elements in set E. Set E has 3 elements.
  • Step 3: Identify the number of common elements between set D and set E. There are 2 common elements.
  • 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) + (3) - (2) = 6.
  • Step 6: Therefore, the maximum number of unique elements in the hybrid set is 6.
  • Set Theory – Understanding how to calculate the number of unique elements in the union of two sets, considering common elements.
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