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If two sets A and B have 17 elements in common, then the number of elements common to the set A × B and B × A is 

(a) 217 

(b) 172 

(c) 34 

(d) insufficient data

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(b) 172

n (A ∩ B) = 17 

So n [(A × B) ∩ (B × A)] 

= n(A ∩ B) × n(B ∩ A) 

= 17 × 17 = 172

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