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If n(A)= 3 and n(B)= 6 and A ⊆ B, then the number of elements in(A∩B) equals

Question

If n(A)= 3 and n(B)= 6 and A ⊆ B, then the number of elements in(A∩B) equals

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Solution

Dado que AB A \subseteq B , todos los elementos de A A están también en B B . Por lo tanto, la intersección de A A y B B (AB A \cap B ) contiene todos los elementos de A A .

Entonces, el número de elementos en AB A \cap B es igual al número de elementos en A A .

Dado que n(A)=3 n(A) = 3 , el número de elementos en AB A \cap B es 3 3 .

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