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Answer:
a) C={2,4,6,8,10}
b)I) 8
II)7
iii)1
iv)8
v) 7
vi)2
vii)2
Step-by-step explanation:
a)From Given..
If y=1 =>x=2(1)=2
If y=2 =>x=2(2)=4
If y=3 =>x=2(3)=6
If y=4 =>x=2(4)=8
If y=5 =>x=2(5)=10
So,The Elements in C={2,4,6,8,10}
b)I)n(A)=4,n(B)=4
n(A)+n(B)=4+4=8
II)A={9,7,5,8},B={6,5,4,3}
AUB={9,7,5,8}U{6,5,4,3}
={9,7,5,8,6,4,3}
n(AUB) =7
iii)A={9,7,5,8},B={6,5,4,3}
AΠB={9,7,5,8}Π{6,5,4,3}
={5}
n(AΠB) =1
iv)From II) and iii)
n(AUB)+n(AΠB)=7+1=8
v)B={6,5,4,3},C={2,4,6,8,10}
BUC={6,5,4,3}U{2,4,6,8,10}
={6,5,4,3,2,8,10}
n(BUC)=7
vi)B={6,5,4,3},C={2,4,6,8,10}
BΠC={6,5,4,3}Π{2,4,6,8,10}
={6,4}
n(BΠC)=2
vii)n(B)=4,n(C)=5,n(BUC)=7
n(B)+n(C)-n(BUC)=4+5-7=9-7=2
Explanation:
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