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In a hybrid set, if the cardinality of set A is 5 and set B is 3, what is the ma

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Question: In a hybrid set, if the cardinality of set A is 5 and set B is 3, what is the maximum possible cardinality of the hybrid set formed by their union?

Options:

  1. 3
  2. 5
  3. 8
  4. 2

Correct Answer: 8

Solution: 

The maximum possible cardinality of the hybrid set formed by their union is 8, assuming no elements are shared between the two sets.

In a hybrid set, if the cardinality of set A is 5 and set B is 3, what is the ma

Practice Questions

Q1
In a hybrid set, if the cardinality of set A is 5 and set B is 3, what is the maximum possible cardinality of the hybrid set formed by their union?
  1. 3
  2. 5
  3. 8
  4. 2

Questions & Step-by-Step Solutions

In a hybrid set, if the cardinality of set A is 5 and set B is 3, what is the maximum possible cardinality of the hybrid set formed by their union?
  • Step 1: Understand what cardinality means. Cardinality is the number of elements in a set.
  • Step 2: Identify the cardinality of set A, which is given as 5.
  • Step 3: Identify the cardinality of set B, which is given as 3.
  • Step 4: To find the maximum possible cardinality of the union of set A and set B, assume that there are no shared elements between the two sets.
  • Step 5: Add the cardinalities of set A and set B together: 5 (from set A) + 3 (from set B) = 8.
  • Step 6: Conclude that the maximum possible cardinality of the hybrid set formed by their union is 8.
  • Cardinality of Sets – Cardinality refers to the number of elements in a set. The union of two sets combines all unique elements from both sets.
  • Union of Sets – The union of two sets A and B is a set that contains all elements from both A and B, without duplicates.
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