If the cardinality of two disjoint sets A and B are 10 and 15 respectively, what is the cardinality of A $\cup$ B?

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Solution

n(A) = 10

n(B) = 15

As A and B are disjoint sets, A $\cap$ B = $\emptyset$

n(A $\cup$ B) = n(A) + n(B)

= 10 + 15

= 25

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If the cardinality of two disjoint sets A and B are 10 and 15 respectively, what is the cardinality of A ∪ B?

n(A) = 10 n(B) = 15 As A and B are disjoint sets, A ∩ B =∅ n(A ∪ B) = n(A) + n(B) = 10 + 15 = 25

If the cardinality of two disjoint sets A and B are 10 and 15 respectively, what is the cardinality of A $\cup$ B?

n(A) = 10

n(B) = 15

As A and B are disjoint sets, A $\cap$ B = $\emptyset$

n(A $\cup$ B) = n(A) + n(B)

= 10 + 15

= 25