| I. If (a, 1), (b, 2) and (c, 1) are in \[A\times B\] and \[n(A)=3,\,\,n(B)=2\] then \[A=\{a,b,c\}\] and \[B=\{1,2\}\] |
| II. If \[A=\{1,2\}\] and \[B=\{3,4\},\] then \[A\times (B\cap \phi )\]is equal to \[A\times B.\] |
| Choose the correct option. |
A) Only I is true
B) Only II is true
C) Both are true
D) Neither I nor II is true
Correct Answer: A
Solution :
[a] I. A = Set of first elements \[=\{a,b,c\}\] B = Set of second elements \[=\{1,2\}\] II. \[B\cap \phi =\phi \therefore A\times \phi =\phi \]
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