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If A and B are two non-empty sets having 10 elements in common, then how many elements do A x B and B x A have in common?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 10
  2. 20
  3. 40
  4. 100

Answer (Detailed Solution Below)

Option 4 : 100
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Detailed Solution

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Explanation:

Given:

⇒A∩B =10

Now, (A × B) ∩  (B × A) = 102 =100

Thus, there are 100 elements Common in A x B and B x A 

∴ Option (d) is correct

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