If U={x:x€N and x<10}, A={1,2,3,5,8}, B={2,5,6,7,9}, then
n{(AUB)`} is ________.
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Answer:
Given:
U = { x:x belongs to N and x< 10}
A= { 1,2,3,5,8}
B= { 2,5,6,7,9}
So,
n(u)= 9
n(A)= 5
n(B)= 5
(AnB)= { 2,5}
n(AnB)=2
n(AuB)= n(A)+ n(B) -n(AnB)
= 5+5-2
=8
n{(AuB)`}= n(U)- n(AUB)= 9-8=1
so, the answer is 1
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