If A and B are disjoint sets then n(AuB) = ?
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Given : A and B are disjoint sets
To Find : n(A∪B)
Solution:
two sets are said to be disjoint sets if they have no element in common.
Hence n ( A ∩ B) = 0 as no common element
n(A∪B) = n(A) + n(B) - n ( A ∩ B)
Substitute n ( A ∩ B) = 0
=> n(A∪B) = n(A) + n(B) - 0
=> n(A∪B) = n(A) + n(B)
hence n(A∪B) = n(A) + n(B) if A and B are disjoint sets
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